88.53 is what percent of 374.46 - 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 374.46 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 374.46, so we can write it down as 100%=374.46.
4. We know, that x% equals 88.53 of the output value, so we can write it down as x%=88.53.
5. Now we have two simple equations:
1) 100%=374.46
2) x%=88.53
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%=374.46/88.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.53 is what percent of 374.46

100%/x%=374.46/88.53
(100/x)*x=(374.46/88.53)*x       - we multiply both sides of the equation by x
100=4.2297526262284*x       - we divide both sides of the equation by (4.2297526262284) to get x
100/4.2297526262284=x
23.642044544144=x
x=23.642044544144

now we have:
88.53 is 23.642044544144% of 374.46