552.5 is what percent of 500 - 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 500 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 500, so we can write it down as 100%=500.
4. We know, that x% equals 552.5 of the output value, so we can write it down as x%=552.5.
5. Now we have two simple equations:
1) 100%=500
2) x%=552.5
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%=500/552.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 552.5 is what percent of 500

100%/x%=500/552.5
(100/x)*x=(500/552.5)*x       - we multiply both sides of the equation by x
100=0.90497737556561*x       - we divide both sides of the equation by (0.90497737556561) to get x
100/0.90497737556561=x
110.5=x
x=110.5

now we have:
552.5 is 110.5% of 500