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100 increased by 2% = 102

100 increased by 2 percent is 102. Step-by-step solution with the formula and worked example.

100 increased by 2% = 102
increased by %

Solution: 100 increased by 2 percent

Increase = 2% × 100 = 2
Result = 100 + 2 = 102

Step-by-step explanation

  1. Find the increase: 2% of 100 = 2.
  2. Add it to the original: 100 + 2 = 102.
  3. Shortcut: multiply by (1 + 2/100) = ×1.02.

Good to know

Shortcut: increasing by 2% is the same as multiplying by 1.02 (that is 100% + 2%). So 100 × 1.02 = 102 in a single step — handy for adding tax, interest or a markup.

Frequently asked questions

100 increased by 2 percent
100 increased by 2% = 102.

How is it calculated?
See the step-by-step solution above — it uses the standard percentage formula.

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