IV fluids
Enter the prescribed mcg/kg/min dose, dosing weight, and exact prepared infusion concentration.
Enter the authorised weight-based dose exactly as written.
Use the dosing weight specified by the order, medicine reference or protocol.
Pounds are converted to kilograms before the infusion calculation.
How is the infusion concentration written?
Enter a concentration directly, or calculate it from the prepared drug amount and verified final volume.
Use the exact concentration on the current prepared infusion label.
mg/mL is converted to mcg/mL automatically.
Simple answer
Multiply the prescribed dose by the dosing weight specified for the order, convert the per-minute amount to an hourly amount, then divide by the prepared infusion concentration.
The example values are for arithmetic demonstration only. Use the prescribed dose, required weight basis, and exact concentration on the current infusion label or verified preparation record.
Simple answer
Multiply the pump rate by the exact current infusion concentration, then divide by the dosing weight and by 60 minutes per hour.
Use the exact current concentration and the dosing weight required by the relevant order or protocol. This reverse calculation checks arithmetic only; it does not determine whether the resulting dose is clinically appropriate.
mcg/kg/min is a weight-based dose. It tells you how many micrograms are prescribed for each kilogram of body weight, each minute.
It is the volume of this specific prepared concentration that would run each hour. A different concentration can produce a different mL/hr rate for the same mcg/kg/min dose.
Confirm that the prescribed unit, dosing weight, current infusion concentration, final volume and pump time unit all match the values entered. This calculator performs arithmetic only. It does not determine the correct medicine, dose, concentration, route, compatibility, monitoring requirement, or weight basis for an individual patient.
Clinical use and safety
The arithmetic can be correct while the clinical decision is still wrong. These boundaries show what the calculator can and cannot establish.
Formula logic and known-value examples are checked as part of the MedMaths review process.
See how MedMaths checks calculator methods →Review the step-by-step method, concentration conversion, worked examples, common mistakes and reverse calculation.
A useful mental check
Dose × weight tells you how many micrograms are needed each minute. ×60 tells you how many micrograms are needed each hour. Dividing by micrograms per mL tells you how many mL are needed each hour.
Want the reasoning behind dose rate, pump rate, concentration and the ×60 step? Read mcg/kg/min Infusions Explained.
In simple words
Find the micrograms needed each hour, then divide by how many micrograms are contained in each millilitre.
In simple words
Work out the microgram rate represented by the pump setting each hour, then divide by the authorised dosing weight and by 60 minutes.
In simple words
If the drug amount is written in mg, convert it to mcg first. If it is already in mcg, divide directly by the verified final volume.
mcg/kg/min × kg × 60 min/hr × mL/mcg = mL/hr
The kg, mcg and minute units cancel. If the units do not cancel to the unit you expect, stop and check the inputs before trusting the number.
The pump runs in mL/hr, but the prescription is written as a dose. The concentration connects those two measurements. A concentration of 80 mcg/mL means that every 1 mL of the prepared infusion contains 80 mcg.
If the label gives a direct concentration in mg/mL, convert to mcg/mL using 1 mg = 1000 mcg; the calculator can do this automatically. If the preparation record gives a total amount in mg or mcg, divide the equivalent microgram amount by the verified final volume. Do not assume that the amount of diluent added is always the same as final volume when product-specific preparation instructions state otherwise.
If a bag, syringe or concentration is changed, re-check the calculation using the new current concentration. The same prescribed mcg/kg/min dose can correspond to a different mL/hr pump rate after a concentration change.
If the concentration is not yet stated and you are checking a completed IV preparation from a verified reconstituted vial, transferred solution volume and final total volume, use the Final IV Bag Concentration Calculator first. Then use the verified current concentration here.
These numbers demonstrate the arithmetic only and are not medicine dose recommendations.
Dose: 0.1 mcg/kg/min · Weight entered: 176 lb · Concentration: 0.016 mg/mL
Answer: 29.94 mL/hr
Drug amount: 4000 mcg · Verified final volume: 50 mL · Dose: 0.1 mcg/kg/min · Weight: 50 kg
Answer: 3.75 mL/hr
Rate: 6 mL/hr · Concentration: 200 mcg/mL · Weight: 100 kg
Answer: 0.2 mcg/kg/min
mcg/kg/min is per minute, while the pump result is mL per hour.
1 mg = 1000 mcg. Use the unit selector so the conversion remains explicit instead of entering an mg/mL number as though it were mcg/mL.
If a source weight is in pounds, convert it to kilograms before the dose calculation. MedMaths shows the kg weight used when lb is selected.
Use the exact current bag or syringe concentration, not a remembered standard concentration.
A non-weight-based mcg/min order is a different calculation.
Keep the full value through intermediate steps and round only the final display as clinically appropriate.
When preparation instructions define a verified final volume, use that value to calculate concentration.
A new concentration can require a new mL/hr rate even when the prescribed dose is unchanged.
Use the calculator for a fast arithmetic answer. The MedMaths Learn lesson provides repeated worked practice, unit recognition and mastery questions.
Practise weight-based infusion rates in Learn →This type of calculation is used when a continuous infusion order is expressed as a weight-based amount per minute, but the infusion device is programmed as a volume per hour.
The reverse calculation is useful when the pump rate is known and you need to determine the mcg/kg/min represented by that rate, provided the dosing weight and exact current concentration are also known.
MedMaths does not determine whether a medicine should be prescribed in mcg/kg/min, which concentration should be prepared, which weight should be used, or whether a calculated dose is clinically appropriate.
Clinical reminder: Always follow local protocols and consult medication information sheets. These examples are for calculation practice only.
Unlike a named clinical equation such as Cockcroft-Gault or Mosteller BSA, this calculator uses standard arithmetic or unit relationships rather than a formula that MedMaths can reliably trace to one historical researcher or publication. MedMaths therefore identifies who wrote and reviewed the page instead of assigning a historical formula author.
The calculation rearranges verified volume, time, drop-factor, concentration, weight, or dose-rate values into the requested infusion quantity. It does not select the medicine or fluid, prescribe the rate, choose the delivery device, or replace patient monitoring and local IV policy.
The mcg/kg/min ↔ mL/hr conversion is standard weight-based infusion dimensional analysis. It is not attributed to a single researcher.
Supporting references
Safety and quality guidance
Continue calculating
Use these calculators alongside infusion rate calculations.
Calculate drops per minute from mL/hr or from total volume and infusion time.
Open calculatorReverse-check a running gravity drip by converting the observed chamber count into an estimated mL/hr.
Open calculatorCalculate adult Devine ideal body weight in cm or feet and inches, with optional Robinson and Miller comparison estimates.
Open calculatorCalculate mg/kg per-dose or per-day orders using kg or lb, divided doses, and liquid concentration.
Open calculatorOpen the calculation, dimensional-analysis and medication-safety sources used to review this page.
These sources support the weight-based infusion arithmetic, unit-conversion method and medication-safety boundaries used on this page. Medicine-specific dosing, preparation, compatibility and monitoring must still come from the applicable product information, pharmacy instructions and local clinical protocol.
OpenStax — Pharmacology for Nurses: Dosage Calculations
U.S. nursing pharmacology example using dimensional analysis for an IV infusion ordered in mcg/kg/min and solved in mL/hour.
U.S. Food and Drug Administration — Infusion Pump Risk Reduction Strategies for Clinicians
Supports verification of programmed dosage, rate and volume and distinguishes pump programming from actual delivery performance.
ISMP — High-Alert Medications in Acute Care Settings (2024)
Identifies IV adrenergic agonists and sodium nitroprusside among high-alert medicines requiring robust safeguards.
ISMP — Guidelines for Optimizing Safe Implementation and Use of Smart Infusion Pumps
Addresses concentration selection, dose-rate units, weight-based versus non-weight-based programming and infusion-pump error pathways.
DailyMed — Dopamine Hydrochloride in Dextrose
Product labelling supporting mcg/kg/min dosing arithmetic and a 400 mg/250 mL (1,600 mcg/mL) premix used as a worked concentration example.
DailyMed — Norepinephrine in 0.9% Sodium Chloride Injection
Product labelling illustrating that norepinephrine orders may be expressed in mcg/min rather than mcg/kg/min; match the calculator to the actual authorised unit.
South Thames Retrieval Service (NHS) — Infusion Rate Calculations
International example of the mcg/kg/min ↔ mL/hr method, including the ×60 conversion and reverse calculation.
Australian Commission on Safety and Quality in Health Care — High risk medicines and systems
Medication-safety guidance on wrong-dose and wrong-infusion-rate risks and infusion-pump safeguards.
Evidence review updated 28 August 2026. MedMaths uses these sources to support the calculation method and educational explanation, not to provide medicine-specific prescribing advice.
