36.2 is what percent of 86.6 - 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 86.6 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 86.6, so we can write it down as 100%=86.6.
4. We know, that x% equals 36.2 of the output value, so we can write it down as x%=36.2.
5. Now we have two simple equations:
1) 100%=86.6
2) x%=36.2
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%=86.6/36.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.2 is what percent of 86.6

100%/x%=86.6/36.2
(100/x)*x=(86.6/36.2)*x       - we multiply both sides of the equation by x
100=2.3922651933702*x       - we divide both sides of the equation by (2.3922651933702) to get x
100/2.3922651933702=x
41.801385681293=x
x=41.801385681293

now we have:
36.2 is 41.801385681293% of 86.6