874.98 is what percent of 3718.9 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 3718.9 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 3718.9, so we can write it down as 100%=3718.9.
4. We know, that x% equals 874.98 of the output value, so we can write it down as x%=874.98.
5. Now we have two simple equations:
1) 100%=3718.9
2) x%=874.98
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=3718.9/874.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 874.98 is what percent of 3718.9

100%/x%=3718.9/874.98
(100/x)*x=(3718.9/874.98)*x       - we multiply both sides of the equation by x
100=4.2502685775675*x       - we divide both sides of the equation by (4.2502685775675) to get x
100/4.2502685775675=x
23.527924924037=x
x=23.527924924037

now we have:
874.98 is 23.527924924037% of 3718.9