Percentage of a Percentage Calculator

Take one percentage, then a percentage of that result.

Stacked discounts · Statistics · Runs on your device

Your numbers stay on your device

  • Start valueand two %
  • Effectiverate shown
  • Decimalssupported
  • Privateby design
In practice

What you can count on

  • 3figures in
    • A starting value to work on
    • Two percentages on top of it
  • 4lines back
    • The figure you land on
    • And the effective rate
  • 100%on your device
    • No data is sent or stored
    • Your calculation is private
Specification

Percentage of a Percentage at a glance

What you enter
A value and two percentages
What comes back
Result, effective percent, difference
The working shown
The first step is written out
How many at once
One set of figures at a time
Where it runs
Runs in your browser, nothing sent
Rounding
4 decimal places
Price
Free
Account required
No
How to

How to use Percentage of a Percentage

  1. 1

    Enter the Starting Value

    Type the number the percentages work on — a price, a headcount, a budget. It starts at 1000.

  2. 2

    Enter the Two Percentages

    The first is taken from the starting value. The second is taken from whatever the first one gave you.

  3. 3

    Read the Result

    You get the first step written out, the figure you land on, the effective rate, and the difference from where you started.

Questions

Frequently asked questions

What is a real-world example of needing this?

A product is 30% off. You have a coupon for an extra 20% off the sale price. To find the total discount, calculate 20% of the remaining 70%. This is 14%. The total discount is 44% (30% + 14%).

How is this different from a regular percentage calculator?

A standard one takes a single percentage of a number. This one chains two — the second is taken from what the first one gave — and shows the effective rate over the pair.

Is '50% of 20%' the same as '20% of 50%'?

Yes, the order of the percentages does not change the result. The underlying mathematical operation is multiplication (0.50 × 0.20 is the same as 0.20 × 0.50), so the outcome is identical.

Do I get a value or a percentage?

Both. The headline is the figure you land on, and the effective rate line underneath shows what share of the starting value that figure is.

Can I use decimal points in the percentages?

Yes, the calculator accepts decimal values. You can enter numbers like '4.5' for 4.5% or '12.75' for 12.75% to perform more precise calculations.

Background

Stacked Discounts Explained

Enter a starting value, a first percentage, and a percentage of that first result. You get the figure at each step, plus the effective rate over the whole thing.

  • This calculation is useful for understanding stacked discounts. An offer for 'an extra 40% off the 50% off sale price' is not a 90% discount.
  • The extra 40% is applied to the remaining 50% of the price. The calculation (40% of 50%) shows this is a 20% additional discount.

Full specification

Specification of the Percentage of a Percentage tool
What you enterA starting value, a first percentage, and a percentage of that first result.
What comes backThe final result, the effective percentage, and the difference from the starting value.
The working shownA line such as "20% of 1000" shows the first step before the second percentage is taken.
How many at onceOne set of figures at a time.
Where it runsEverything happens in your browser tab. The numbers never leave the device.
RoundingResults are rounded to four decimal places on this page.
PriceFree
Account requiredNo
Next step

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