34.37 is what percent of 40.22 - 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 40.22 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 40.22, so we can write it down as 100%=40.22.
4. We know, that x% equals 34.37 of the output value, so we can write it down as x%=34.37.
5. Now we have two simple equations:
1) 100%=40.22
2) x%=34.37
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%=40.22/34.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.37 is what percent of 40.22

100%/x%=40.22/34.37
(100/x)*x=(40.22/34.37)*x       - we multiply both sides of the equation by x
100=1.1702065755019*x       - we divide both sides of the equation by (1.1702065755019) to get x
100/1.1702065755019=x
85.454997513675=x
x=85.454997513675

now we have:
34.37 is 85.454997513675% of 40.22