947.56 is what percent of 1018.25 - 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 1018.25 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 1018.25, so we can write it down as 100%=1018.25.
4. We know, that x% equals 947.56 of the output value, so we can write it down as x%=947.56.
5. Now we have two simple equations:
1) 100%=1018.25
2) x%=947.56
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%=1018.25/947.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 947.56 is what percent of 1018.25

100%/x%=1018.25/947.56
(100/x)*x=(1018.25/947.56)*x       - we multiply both sides of the equation by x
100=1.0746021360125*x       - we divide both sides of the equation by (1.0746021360125) to get x
100/1.0746021360125=x
93.057697029217=x
x=93.057697029217

now we have:
947.56 is 93.057697029217% of 1018.25