961.33 is what percent of 40 - 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 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, so we can write it down as 100%=40.
4. We know, that x% equals 961.33 of the output value, so we can write it down as x%=961.33.
5. Now we have two simple equations:
1) 100%=40
2) x%=961.33
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%=40/961.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 961.33 is what percent of 40

100%/x%=40/961.33
(100/x)*x=(40/961.33)*x       - we multiply both sides of the equation by x
100=0.041609020835717*x       - we divide both sides of the equation by (0.041609020835717) to get x
100/0.041609020835717=x
2403.325=x
x=2403.325

now we have:
961.33 is 2403.325% of 40