531.48 is what percent of 596.75 - 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 596.75 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 596.75, so we can write it down as 100%=596.75.
4. We know, that x% equals 531.48 of the output value, so we can write it down as x%=531.48.
5. Now we have two simple equations:
1) 100%=596.75
2) x%=531.48
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%=596.75/531.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 531.48 is what percent of 596.75

100%/x%=596.75/531.48
(100/x)*x=(596.75/531.48)*x       - we multiply both sides of the equation by x
100=1.1228080078272*x       - we divide both sides of the equation by (1.1228080078272) to get x
100/1.1228080078272=x
89.062421449518=x
x=89.062421449518

now we have:
531.48 is 89.062421449518% of 596.75