407.54 is what percent of 538 - 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 538 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 538, so we can write it down as 100%=538.
4. We know, that x% equals 407.54 of the output value, so we can write it down as x%=407.54.
5. Now we have two simple equations:
1) 100%=538
2) x%=407.54
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%=538/407.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 407.54 is what percent of 538

100%/x%=538/407.54
(100/x)*x=(538/407.54)*x       - we multiply both sides of the equation by x
100=1.3201158168523*x       - we divide both sides of the equation by (1.3201158168523) to get x
100/1.3201158168523=x
75.75092936803=x
x=75.75092936803

now we have:
407.54 is 75.75092936803% of 538