Solve 83.56%/365*100

$$\frac{ 83.56 \% }{ 365 } \times 100$$

Evaluate

$$\frac{2089}{9125}\approx 0.228931507$$

Solution Steps

Express \frac{\frac{83.56}{100}}{365} as a single fraction.

$$\frac{83.56}{100\times 365}\times 100$$

Multiply 100 and 365 to get 36500.

$$\frac{83.56}{36500}\times 100$$

Expand \frac{83.56}{36500} by multiplying both numerator and the denominator by 100.

$$\frac{8356}{3650000}\times 100$$

Reduce the fraction \frac{8356}{3650000} to lowest terms by extracting and canceling out 4.

$$\frac{2089}{912500}\times 100$$

Express \frac{2089}{912500}\times 100 as a single fraction.

$$\frac{2089\times 100}{912500}$$

Multiply 2089 and 100 to get 208900.

$$\frac{208900}{912500}$$

Reduce the fraction \frac{208900}{912500} to lowest terms by extracting and canceling out 100.

$$\frac{2089}{9125}$$

Factor

$$\frac{2089}{73 \cdot 5 ^ {3}} = 0.22893150684931507$$