399.2 is what percent of 538.8 - 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 538.8 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 538.8, so we can write it down as 100%=538.8.
4. We know, that x% equals 399.2 of the output value, so we can write it down as x%=399.2.
5. Now we have two simple equations:
1) 100%=538.8
2) x%=399.2
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%=538.8/399.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 399.2 is what percent of 538.8

100%/x%=538.8/399.2
(100/x)*x=(538.8/399.2)*x       - we multiply both sides of the equation by x
100=1.3496993987976*x       - we divide both sides of the equation by (1.3496993987976) to get x
100/1.3496993987976=x
74.090571640683=x
x=74.090571640683

now we have:
399.2 is 74.090571640683% of 538.8