86.2 is what percent of 397.6 - 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 397.6 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 397.6, so we can write it down as 100%=397.6.
4. We know, that x% equals 86.2 of the output value, so we can write it down as x%=86.2.
5. Now we have two simple equations:
1) 100%=397.6
2) x%=86.2
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%=397.6/86.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86.2 is what percent of 397.6

100%/x%=397.6/86.2
(100/x)*x=(397.6/86.2)*x       - we multiply both sides of the equation by x
100=4.6125290023202*x       - we divide both sides of the equation by (4.6125290023202) to get x
100/4.6125290023202=x
21.680080482897=x
x=21.680080482897

now we have:
86.2 is 21.680080482897% of 397.6