Percentage Calculator

Answer
300.00
20.00 ÷ 100 × 1,500.00
[ CALCULATION ]
Percentage20.00
Of1,500.00
20% of 1,500.00 20.00 ÷ 100 × 1,500.00300.00
[ WHAT THIS IS ]

Most percentage mistakes are not arithmetic mistakes — they are answering a different question from the one asked. "20% of 1,500" and "20 is what percent of 1,500" look almost identical written down, and give 300 and 1.33% respectively.

So the questions are kept apart here, each with its own two fields and its own sentence. Pick the one that matches what you actually want to know.

[ QUESTIONS ]

If a price goes up 10% and then down 10%, is it back to the original?

No. ₱100 up 10% is ₱110; ₱110 down 10% is ₱99. The second percentage applies to the larger amount, so you end up below where you started. This catches people out constantly, and it is why a 10% discount never quite undoes a 10% price rise.

What is the difference between "20% of 1,500" and "20 is what percent of 1,500"?

They are different questions with different answers. The first gives 300. The second gives 1.33%. They are kept as separate modes here precisely so they cannot be confused.

Why does a change from zero not work?

Because it is undefined. Going from 0 to 50 is an infinite increase — there is nothing to compare against. Returning "100%" would be a made-up answer, so the tool says so instead.

[ THE QUESTIONS ]
P% of X
P ÷ 100 × X
X is what percent of Y
X ÷ Y × 100
Increase X by P%
X + (P ÷ 100 × X)
Change from A to B
(B − A) ÷ |A| × 100

The last one divides by the magnitude of A, so a move from −100 to −50 reads as a 50% improvement rather than a 50% fall.

[ NEXT ]
17VAT CalculatorAdd VAT, or back it out of a total
23Discount CalculatorDiscount amount and final price
21Loan CalculatorPayment, total interest and schedule
[ IMPORTANT ]

Arithmetic only — no rounding to currency. Nothing you type here is sent to our servers — the calculation runs entirely in your browser.