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100 decreased by 2% = 98

100 decreased by 2 percent is 98. Step-by-step solution with the formula and worked example.

100 decreased by 2% = 98
decreased by %

Solution: 100 decreased by 2 percent

Decrease = 2% × 100 = 2
Result = 100 − 2 = 98

Step-by-step explanation

  1. Find the decrease: 2% of 100 = 2.
  2. Subtract it from the original: 100 − 2 = 98.
  3. Shortcut: multiply by (1 − 2/100) = ×0.98.

Good to know

Shortcut: decreasing by 2% is the same as multiplying by 0.98 (that is 100% − 2%). So 100 × 0.98 = 98 in one step.

Frequently asked questions

100 decreased by 2 percent
100 decreased by 2% = 98.

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

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