How to Calculate Percentages

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Percentages are everywhere: discounts, taxes, tips, grades. Here is a complete guide to calculating any percentage problem.

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Step-by-Step Guide

  1. Find X% of a number: multiply by X/100
  2. Percentage increase: ((new-old)/old) x 100
  3. Percentage decrease: ((old-new)/old) x 100
  4. Reverse: if X is Y% of what? Divide X by (Y/100)
  5. Percentage of total: (part/total) x 100

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Frequently Asked Questions

How do I calculate a tip?

For 15%: multiply bill by 0.15. For 20%: multiply by 0.20.

How do I calculate a discount?

Multiply price by (1 - discount/100). 25% off $80 = $80 x 0.75 = $60.

How do I calculate tax?

Multiply price by tax rate (8.25% = 0.0825). Add to original price.

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