I need help on this math problem, Could someone help

Question

An international company has 16,300

 employees in one country. If this represents 24.8%

 of the company's employees, how many employees does it have in total?

Answer 1

Hello, thank you for taking the time to post your question!

On this type of question you want to divide the given amount by the proportion in order to find the total. That means taking

16,300 / 0.248 = 65,726

So the company has 65,726 employees in total

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional question beyond that :)

Answer 2

You can think of a percentage as the part divided by the whole multiplied by 100.

For example if a company has 100 employees and 75 of them are women, if you want to calculate the percentage of women, 75 is the part, 100 is the whole.

75/100 = 0.75

Multiply that by 100 to get a percentage: 0.75 (100) = 75%.

For your problem 16,300 is the part. Let x represent the whole. Convert the percentage to a decimal by dividing by 100 (or moving the decimal point 2 places to the left). 24.8% is equivalent to 0.248.

So,

16300/x = 0.248

At this point there are few different ways to solve. You could convert 0.248 to a fraction (248/1000), then cross multiply. Or you could multiply both sides by x to reach this:

16300 = 0.248x (now divide both sides by the coefficient of x)

x = 16300/0.248 (about 65726 employees).

Another way to set up the equation is to translate the given info into an equation.

16300 IS 24.8% OF x. The word IS is translated as an equal sign, the work OF as multiplication.

16300 = 0.248 times x (24.8% converted to a decimal)

16300 = .0248x

x = 16300/0.248 (same result).

If you do convert the decimal to a fraction:

16300/x = 248/1000

248x = 16300(1000)

x = 16300(1000)/248

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