657.72 is what percent of 872.45 - 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 872.45 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 872.45, so we can write it down as 100%=872.45.
4. We know, that x% equals 657.72 of the output value, so we can write it down as x%=657.72.
5. Now we have two simple equations:
1) 100%=872.45
2) x%=657.72
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%=872.45/657.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 657.72 is what percent of 872.45

100%/x%=872.45/657.72
(100/x)*x=(872.45/657.72)*x       - we multiply both sides of the equation by x
100=1.3264763121085*x       - we divide both sides of the equation by (1.3264763121085) to get x
100/1.3264763121085=x
75.387701300934=x
x=75.387701300934

now we have:
657.72 is 75.387701300934% of 872.45