75.13 is what percent of 884.91 - 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 884.91 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 884.91, so we can write it down as 100%=884.91.
4. We know, that x% equals 75.13 of the output value, so we can write it down as x%=75.13.
5. Now we have two simple equations:
1) 100%=884.91
2) x%=75.13
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%=884.91/75.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.13 is what percent of 884.91

100%/x%=884.91/75.13
(100/x)*x=(884.91/75.13)*x       - we multiply both sides of the equation by x
100=11.778384134167*x       - we divide both sides of the equation by (11.778384134167) to get x
100/11.778384134167=x
8.4901289396662=x
x=8.4901289396662

now we have:
75.13 is 8.4901289396662% of 884.91