958.59 is what percent of 2949.33 - 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 2949.33 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 2949.33, so we can write it down as 100%=2949.33.
4. We know, that x% equals 958.59 of the output value, so we can write it down as x%=958.59.
5. Now we have two simple equations:
1) 100%=2949.33
2) x%=958.59
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%=2949.33/958.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 958.59 is what percent of 2949.33

100%/x%=2949.33/958.59
(100/x)*x=(2949.33/958.59)*x       - we multiply both sides of the equation by x
100=3.0767377085094*x       - we divide both sides of the equation by (3.0767377085094) to get x
100/3.0767377085094=x
32.501958071833=x
x=32.501958071833

now we have:
958.59 is 32.501958071833% of 2949.33