492.74 is what percent of 557.42 - 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 557.42 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 557.42, so we can write it down as 100%=557.42.
4. We know, that x% equals 492.74 of the output value, so we can write it down as x%=492.74.
5. Now we have two simple equations:
1) 100%=557.42
2) x%=492.74
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%=557.42/492.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 492.74 is what percent of 557.42

100%/x%=557.42/492.74
(100/x)*x=(557.42/492.74)*x       - we multiply both sides of the equation by x
100=1.1312659820595*x       - we divide both sides of the equation by (1.1312659820595) to get x
100/1.1312659820595=x
88.396541207707=x
x=88.396541207707

now we have:
492.74 is 88.396541207707% of 557.42