523.25 is what percent of 550 - 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 550 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 550, so we can write it down as 100%=550.
4. We know, that x% equals 523.25 of the output value, so we can write it down as x%=523.25.
5. Now we have two simple equations:
1) 100%=550
2) x%=523.25
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%=550/523.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 523.25 is what percent of 550

100%/x%=550/523.25
(100/x)*x=(550/523.25)*x       - we multiply both sides of the equation by x
100=1.0511227902532*x       - we divide both sides of the equation by (1.0511227902532) to get x
100/1.0511227902532=x
95.136363636364=x
x=95.136363636364

now we have:
523.25 is 95.136363636364% of 550