40.7 is what percent of 2932.5 - 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 2932.5 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 2932.5, so we can write it down as 100%=2932.5.
4. We know, that x% equals 40.7 of the output value, so we can write it down as x%=40.7.
5. Now we have two simple equations:
1) 100%=2932.5
2) x%=40.7
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%=2932.5/40.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.7 is what percent of 2932.5

100%/x%=2932.5/40.7
(100/x)*x=(2932.5/40.7)*x       - we multiply both sides of the equation by x
100=72.051597051597*x       - we divide both sides of the equation by (72.051597051597) to get x
100/72.051597051597=x
1.38789428815=x
x=1.38789428815

now we have:
40.7 is 1.38789428815% of 2932.5