74.38 is what percent of 84.52 - 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 84.52 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 84.52, so we can write it down as 100%=84.52.
4. We know, that x% equals 74.38 of the output value, so we can write it down as x%=74.38.
5. Now we have two simple equations:
1) 100%=84.52
2) x%=74.38
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%=84.52/74.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.38 is what percent of 84.52

100%/x%=84.52/74.38
(100/x)*x=(84.52/74.38)*x       - we multiply both sides of the equation by x
100=1.1363269696155*x       - we divide both sides of the equation by (1.1363269696155) to get x
100/1.1363269696155=x
88.0028395646=x
x=88.0028395646

now we have:
74.38 is 88.0028395646% of 84.52