Question

An international company has 25,200 employees in one country. If this represents 21.2% of the company's employees, how many employees does it have in total?

Round your answer to the nearest whole number.

Answer 1

There are about 118868 employees at the company.

Explanation:

When dealing with percentage problems, we can use the following equation:

P%x = y, where P% of x is y.

Since we're told that 25200 is 21.2% of the total number of employees, we substitute 21.2% for P and 25200 for y in the formula to solve for x, the total number of employees.

Furthermore, we must first convert the percentage to a decimal by dividing 21.2 by 100: 21.2 / 100 = 0.212

0.212x = 25200

Step 1: Divide both sides by 0.212 to solve for x:

(0.212x = 25200) / 0.212

x = 118867.9245

Step 2: Round to the nearest whole number to get the final answer.

118867.9245 rounded to the nearest whole number is 118868. Thus, the company has about 118867 employees in total.

Step 3: Check that 21.2% of 118868 is (exactly or approximately) 25200:

0.212 * 118868 = 25200

25200.016 > 25200

Although 25200.016 is slightly larger than 25200, we can still trust that our answer is 11868 since it's rounded and an approximation. A more exact number like 118867.9245 would give us exactly 25200.