953.2 is what percent of 1084.38 - 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 1084.38 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 1084.38, so we can write it down as 100%=1084.38.
4. We know, that x% equals 953.2 of the output value, so we can write it down as x%=953.2.
5. Now we have two simple equations:
1) 100%=1084.38
2) x%=953.2
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%=1084.38/953.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 953.2 is what percent of 1084.38

100%/x%=1084.38/953.2
(100/x)*x=(1084.38/953.2)*x       - we multiply both sides of the equation by x
100=1.1376206462442*x       - we divide both sides of the equation by (1.1376206462442) to get x
100/1.1376206462442=x
87.902764713477=x
x=87.902764713477

now we have:
953.2 is 87.902764713477% of 1084.38