925.5 is what percent of 1047 - 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 1047 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 1047, so we can write it down as 100%=1047.
4. We know, that x% equals 925.5 of the output value, so we can write it down as x%=925.5.
5. Now we have two simple equations:
1) 100%=1047
2) x%=925.5
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%=1047/925.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 925.5 is what percent of 1047

100%/x%=1047/925.5
(100/x)*x=(1047/925.5)*x       - we multiply both sides of the equation by x
100=1.1312803889789*x       - we divide both sides of the equation by (1.1312803889789) to get x
100/1.1312803889789=x
88.395415472779=x
x=88.395415472779

now we have:
925.5 is 88.395415472779% of 1047