You decide to work fewer hours per week, which results in an 8% decrease in your pay. What percentage increase in pay would you have to receive in order to gain your original salary again? Round your answer to the nearest tenth of a percent.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

You decide to work fewer hours per week, which results in an 8% decrease in your pay.

Then the percentage increase in pay you have to receive in order to gain your original salary again will be

The decrease in salary is 8%

Assume the original salary to be $100.

Then the decreased salary = 100 (1 - 8%) = 100 92% = $92

To attain the former wage of $100, we must find the percentage increase in the lowered salary. We expect an X percent rise in the reduced compensation.

Then we have

92 * (1 + X%) = 100

(1 + X%) = 100 / 92

(1 + X%) = 1.08695652174

X% = 0.086956

X% = 8.6956%

X% = 8.70%

Thus, the decreased salary will have to be increased by 8.70%

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