40.99 is what percent of 372.65 - 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 372.65 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 372.65, so we can write it down as 100%=372.65.
4. We know, that x% equals 40.99 of the output value, so we can write it down as x%=40.99.
5. Now we have two simple equations:
1) 100%=372.65
2) x%=40.99
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%=372.65/40.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.99 is what percent of 372.65

100%/x%=372.65/40.99
(100/x)*x=(372.65/40.99)*x       - we multiply both sides of the equation by x
100=9.0912417662845*x       - we divide both sides of the equation by (9.0912417662845) to get x
100/9.0912417662845=x
10.999597477526=x
x=10.999597477526

now we have:
40.99 is 10.999597477526% of 372.65