3.57 is what percent of 40.18 - 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 40.18 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 40.18, so we can write it down as 100%=40.18.
4. We know, that x% equals 3.57 of the output value, so we can write it down as x%=3.57.
5. Now we have two simple equations:
1) 100%=40.18
2) x%=3.57
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%=40.18/3.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.57 is what percent of 40.18

100%/x%=40.18/3.57
(100/x)*x=(40.18/3.57)*x       - we multiply both sides of the equation by x
100=11.254901960784*x       - we divide both sides of the equation by (11.254901960784) to get x
100/11.254901960784=x
8.8850174216028=x
x=8.8850174216028

now we have:
3.57 is 8.8850174216028% of 40.18