Math Guides

A Complete Guide to Percentages

By SC Editorial 2026-06-13 7 min read

Percentages express parts per hundred. They appear in discounts, tax rates, exam scores, and growth metrics. Mastering percentage math prevents confusion when comparing deals or interpreting statistics.

Calculating X Percent of Y

To find 15% of 200, convert 15% to 0.15 and multiply: 0.15 × 200 = 30. Our Percentage Calculator handles this plus reverse calculations.

Percentage Increase and Decrease

A 20% increase on 150 equals 150 × 1.20 = 180. A 20% decrease equals 150 × 0.80 = 120. Notice that increasing by 20% then decreasing by 20% does not return to the original value.

Finding What Percent One Number Is of Another

What percent is 45 of 180? Divide: 45/180 = 0.25 = 25%. This reverse percentage appears frequently in test score analysis.

Tips for Accuracy

Always identify whether the base value is the original or the new amount. Sales tax and tips apply to the pre-tax subtotal unless stated otherwise.

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