493.86 is what percent of 522.5 - 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 522.5 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 522.5, so we can write it down as 100%=522.5.
4. We know, that x% equals 493.86 of the output value, so we can write it down as x%=493.86.
5. Now we have two simple equations:
1) 100%=522.5
2) x%=493.86
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%=522.5/493.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 493.86 is what percent of 522.5

100%/x%=522.5/493.86
(100/x)*x=(522.5/493.86)*x       - we multiply both sides of the equation by x
100=1.0579921435225*x       - we divide both sides of the equation by (1.0579921435225) to get x
100/1.0579921435225=x
94.518660287081=x
x=94.518660287081

now we have:
493.86 is 94.518660287081% of 522.5