958.54 is what percent of 2900.04 - 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 2900.04 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 2900.04, so we can write it down as 100%=2900.04.
4. We know, that x% equals 958.54 of the output value, so we can write it down as x%=958.54.
5. Now we have two simple equations:
1) 100%=2900.04
2) x%=958.54
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%=2900.04/958.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 958.54 is what percent of 2900.04

100%/x%=2900.04/958.54
(100/x)*x=(2900.04/958.54)*x       - we multiply both sides of the equation by x
100=3.0254762451228*x       - we divide both sides of the equation by (3.0254762451228) to get x
100/3.0254762451228=x
33.052647549689=x
x=33.052647549689

now we have:
958.54 is 33.052647549689% of 2900.04