Solve 100-2.8%

$$100-2.8 \%$$

Evaluate

$$99.972$$

Solution Steps

Expand \frac{2.8}{100} by multiplying both numerator and the denominator by 10.

$$100-\frac{28}{1000}$$

Reduce the fraction \frac{28}{1000} to lowest terms by extracting and canceling out 4.

$$100-\frac{7}{250}$$

Convert 100 to fraction \frac{25000}{250}.

$$\frac{25000}{250}-\frac{7}{250}$$

Since \frac{25000}{250} and \frac{7}{250} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25000-7}{250}$$

Subtract 7 from 25000 to get 24993.

$$\frac{24993}{250}$$

Factor

$$\frac{2777 \cdot 3 ^ {2}}{2 \cdot 5 ^ {3}} = 99\frac{243}{250} = 99.972$$