Answer:
52,330 employees work at this company in total.
Step-by-step explanation:
If 14,600 is the population of 27.9% of the company's employees, then we can find the total # of employees by making fractions as part/whole and cross multiplying.
We are looking for the total # of employees, which is represented by x.
14,600 is the part of the company's # of employees, so we can make an equation of the part (14,600) over x (the whole population of the company) which equals the percentage of the company's employees that 14,600 takes up (27.9) over 100 ( the whole of a percentage).
\(\frac{14600}{x} =\frac{27.9}{100}\)
Now we can cross multiply.
\(14600*100=27.9x\)
Simplify this by multiplying on the left side of the equation.
\(1,460,000=27.9x\)
Now we'll divide both sides by 27.9x so isolate x and find it's value.
\(52329.75=x\)
We must round to the nearest whole number making our answer 52,330 employees.
