40.08 is what percent of 46.22 - 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 46.22 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 46.22, so we can write it down as 100%=46.22.
4. We know, that x% equals 40.08 of the output value, so we can write it down as x%=40.08.
5. Now we have two simple equations:
1) 100%=46.22
2) x%=40.08
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%=46.22/40.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.08 is what percent of 46.22

100%/x%=46.22/40.08
(100/x)*x=(46.22/40.08)*x       - we multiply both sides of the equation by x
100=1.1531936127745*x       - we divide both sides of the equation by (1.1531936127745) to get x
100/1.1531936127745=x
86.715707485937=x
x=86.715707485937

now we have:
40.08 is 86.715707485937% of 46.22