Solve 1000-8.2%

$$1000-8.2 \%$$

Evaluate

$$999.918$$

Solution Steps

Expand \frac{8.2}{100} by multiplying both numerator and the denominator by 10.

$$1000-\frac{82}{1000}$$

Reduce the fraction \frac{82}{1000} to lowest terms by extracting and canceling out 2.

$$1000-\frac{41}{500}$$

Convert 1000 to fraction \frac{500000}{500}.

$$\frac{500000}{500}-\frac{41}{500}$$

Since \frac{500000}{500} and \frac{41}{500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{500000-41}{500}$$

Subtract 41 from 500000 to get 499959.

$$\frac{499959}{500}$$

Factor

$$\frac{18517 \cdot 3 ^ {3}}{2 ^ {2} \cdot 5 ^ {3}} = 999\frac{459}{500} = 999.918$$