40.11 is what percent of 357.7 - 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 357.7 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 357.7, so we can write it down as 100%=357.7.
4. We know, that x% equals 40.11 of the output value, so we can write it down as x%=40.11.
5. Now we have two simple equations:
1) 100%=357.7
2) x%=40.11
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%=357.7/40.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.11 is what percent of 357.7

100%/x%=357.7/40.11
(100/x)*x=(357.7/40.11)*x       - we multiply both sides of the equation by x
100=8.9179755671902*x       - we divide both sides of the equation by (8.9179755671902) to get x
100/8.9179755671902=x
11.213307240705=x
x=11.213307240705

now we have:
40.11 is 11.213307240705% of 357.7