Solve 587/100%text{of}200.000

$$58 \frac { 7 } { 100 } \% \text { of } 200.000$$

Evaluate

$$\frac{5807}{50}=116.14$$

Solution Steps

Express \frac{\frac{58\times 100+7}{100}}{100} as a single fraction.

$$\frac{58\times 100+7}{100\times 100}\times 200$$

Multiply 58 and 100 to get 5800.

$$\frac{5800+7}{100\times 100}\times 200$$

Add 5800 and 7 to get 5807.

$$\frac{5807}{100\times 100}\times 200$$

Multiply 100 and 100 to get 10000.

$$\frac{5807}{10000}\times 200$$

Express \frac{5807}{10000}\times 200 as a single fraction.

$$\frac{5807\times 200}{10000}$$

Multiply 5807 and 200 to get 1161400.

$$\frac{1161400}{10000}$$

Reduce the fraction \frac{1161400}{10000} to lowest terms by extracting and canceling out 200.

$$\frac{5807}{50}$$

Factor

$$\frac{5807}{2 \cdot 5 ^ {2}} = 116\frac{7}{50} = 116.14$$