493.2 is what percent of 563.16 - 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 563.16 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 563.16, so we can write it down as 100%=563.16.
4. We know, that x% equals 493.2 of the output value, so we can write it down as x%=493.2.
5. Now we have two simple equations:
1) 100%=563.16
2) x%=493.2
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%=563.16/493.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 493.2 is what percent of 563.16

100%/x%=563.16/493.2
(100/x)*x=(563.16/493.2)*x       - we multiply both sides of the equation by x
100=1.1418491484185*x       - we divide both sides of the equation by (1.1418491484185) to get x
100/1.1418491484185=x
87.577242701896=x
x=87.577242701896

now we have:
493.2 is 87.577242701896% of 563.16