Math Tool

PERCENT
AGE

Six types of percentage calculation in one place. Discounts, tips, grade changes, tax — all instant, no calculator needed.

What is X% of Y?
01 / 06
e.g. "What is 15% of $80?" → "$12"
What is % of ?
12
15% of 80 = 12
X is what % of Y?
02 / 06
e.g. "45 is what % of 200?" → "22.5%"
is what % of ?
22.5%
45 is 22.5% of 200
Percentage Change
03 / 06
e.g. "From $50 to $65" → "+30% increase"
From to
+30%
30% increase (+15)
Discount / Sale Price
04 / 06
e.g. "20% off $120" → "$96 sale price, $24 saved"
% off
$96
Sale price · You save $24
Add Percentage (Tax / Tip)
05 / 06
e.g. "$85 + 18% tip" → "$100.30 total, $15.30 tip"
+ %
$100.30
Tip: $15.30
X% of what equals Y?
06 / 06
e.g. "25% of what = 40?" → "160"
% of what equals
160
25% of 160 = 40

Percentage Formula

Percentage = (Part ÷ Whole) × 100. To find a percentage of a number: multiply the number by the percentage and divide by 100. e.g. 15% of 200 = 200 × 15 ÷ 100 = 30.

Percentage Change

Change % = ((New − Old) ÷ Old) × 100. A positive result is an increase; negative is a decrease. e.g. from 80 to 100: ((100−80)÷80)×100 = 25% increase.

Reverse Percentage

To find the original value before a percentage was applied: Original = Final ÷ (1 + rate). e.g. if a price is $110 after 10% tax, the pre-tax price is $110 ÷ 1.10 = $100.

Common Percentages

10% = divide by 10 · 25% = divide by 4 · 20% = divide by 5 · 50% = divide by 2 · 33.3% = divide by 3 · 75% = multiply by 0.75. Mental math shortcuts for everyday use.

FAQ
How do I calculate a percentage in my head?
For 10%, move the decimal one place left. For 5%, halve that. For 15%, add 10% and 5% together. For 20%, divide by 5. For 25%, divide by 4. Most everyday percentages (tax, tips, discounts) can be estimated using these building blocks.
What is percentage vs percentage points?
These are different! If an interest rate goes from 3% to 4%, it increased by 1 percentage point, but the percentage change is 33% (1 is 33% of 3). Percentage points measure absolute differences between two percentages; percentage change measures relative change.
How do I calculate a tip?
Use calculator #5 above. Or mentally: for 20%, divide the bill by 5. For 18%, calculate 20% and subtract 10% of that. For 15%, calculate 10% and add half. On a $60 bill: 20% tip = $12. 15% tip = $6 + $3 = $9.
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How to Use the Percentage Calculator

Calculate any percentage, percentage change, or reverse percentage instantly.

01
Choose your calculation type
Select from: 'What is X% of Y?', 'X is what % of Y?', '% change from X to Y', or 'X increased/decreased by Y%'. Pick the one that matches your question.
02
Enter your numbers
Fill in the two values you know. The third value calculates automatically as you type — no need to press Enter.
03
Read the result
The answer appears immediately with a plain-English explanation of what was calculated and why.
04
Use percentage change for comparisons
Great for comparing prices, salaries, or metrics year-over-year. A positive result is an increase; negative is a decrease.
💡
💡 Quick mental check: to find 15% of any number, find 10% (move decimal left one place) then add half of that. 15% of $240 = $24 + $12 = $36.