SmartKitio

Percentage Calculator

Work out a percentage of a number, the reverse (“X is what percent of Y?”), or how much a value has gone up or down.

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About this calculator

This calculator solves the percentage problems people run into most often: taking a percent of a value, asking what percent one number is of another, and measuring how much a value has changed. Those three modes cover tips, tax, discounts, score shares, and simple growth or decline comparisons. Results are arithmetic only—they are not financial, tax, or investment advice. Use the formula shown on this page so you can check the same steps on paper or in a spreadsheet.

How to calculate

Choose a calculation type, enter the two values, and press Calculate. Use “What is X% of Y?” for tips, tax, and discounts. Use “X is what % of Y?” to compare a part against a whole. Use percentage change to compare an old value with a new one. If a value is zero where division is required, the calculator will reject the input instead of returning an infinite or undefined result.

Part = (Percent / 100) × Whole Percent = (Part / Whole) × 100 Change = ((New − Old) / Old) × 100

When to use it

  • Tips and sales tax
  • Exam scores as a share of the total
  • Price or metric change between two periods

Examples

  • 20% of 150

    20 ÷ 100 × 150 = 30. So 20% of 150 is 30.

  • Price increase

    If a price rises from 80 to 100, the change is ((100 − 80) / 80) × 100 = 25%.

  • Part of a whole

    If 45 students passed out of 60, then 45 is (45 / 60) × 100 = 75% of the class.

Common percentages of 80, 100, and 250

Percentof 80of 100of 250
5%4512.5
10%81025
15%121537.5
20%162050
25%202562.5
50%4050125

FAQ

What is 20% of 150?
20% of 150 is 30. Divide 20 by 100, then multiply by 150.
How do I calculate percentage increase?
Subtract the original value from the new value, divide by the original value, then multiply by 100. A rise from 80 to 100 is a 25% increase.
Is 20% of 50 the same as 50% of 20?
Yes. Percentages are commutative in this form, and both calculations equal 10.
Can I use negative numbers?
Percentage of and “what percent” modes expect the values that make sense for your task. Percentage change can be negative when the new value is lower than the old value.