87.2 is what percent of 448.5 - 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 448.5 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 448.5, so we can write it down as 100%=448.5.
4. We know, that x% equals 87.2 of the output value, so we can write it down as x%=87.2.
5. Now we have two simple equations:
1) 100%=448.5
2) x%=87.2
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%=448.5/87.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.2 is what percent of 448.5

100%/x%=448.5/87.2
(100/x)*x=(448.5/87.2)*x       - we multiply both sides of the equation by x
100=5.1433486238532*x       - we divide both sides of the equation by (5.1433486238532) to get x
100/5.1433486238532=x
19.442586399108=x
x=19.442586399108

now we have:
87.2 is 19.442586399108% of 448.5