812.5 is what percent of 1082.58 - 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 1082.58 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 1082.58, so we can write it down as 100%=1082.58.
4. We know, that x% equals 812.5 of the output value, so we can write it down as x%=812.5.
5. Now we have two simple equations:
1) 100%=1082.58
2) x%=812.5
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%=1082.58/812.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 812.5 is what percent of 1082.58

100%/x%=1082.58/812.5
(100/x)*x=(1082.58/812.5)*x       - we multiply both sides of the equation by x
100=1.3324061538462*x       - we divide both sides of the equation by (1.3324061538462) to get x
100/1.3324061538462=x
75.052190138373=x
x=75.052190138373

now we have:
812.5 is 75.052190138373% of 1082.58