Solve 82.6%text{of}700

$$82.6 \% \text { of } 700$$

Evaluate

$$578.2$$

Solution Steps

Expand \frac{82.6}{100} by multiplying both numerator and the denominator by 10.

$$\frac{826}{1000}\times 700$$

Reduce the fraction \frac{826}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{413}{500}\times 700$$

Express \frac{413}{500}\times 700 as a single fraction.

$$\frac{413\times 700}{500}$$

Multiply 413 and 700 to get 289100.

$$\frac{289100}{500}$$

Reduce the fraction \frac{289100}{500} to lowest terms by extracting and canceling out 100.

$$\frac{2891}{5}$$

Factor

$$\frac{59 \cdot 7 ^ {2}}{5} = 578\frac{1}{5} = 578.2$$