198.18 is what percent of 720 - 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 720 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 720, so we can write it down as 100%=720.
4. We know, that x% equals 198.18 of the output value, so we can write it down as x%=198.18.
5. Now we have two simple equations:
1) 100%=720
2) x%=198.18
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%=720/198.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 198.18 is what percent of 720

100%/x%=720/198.18
(100/x)*x=(720/198.18)*x       - we multiply both sides of the equation by x
100=3.6330608537693*x       - we divide both sides of the equation by (3.6330608537693) to get x
100/3.6330608537693=x
27.525=x
x=27.525

now we have:
198.18 is 27.525% of 720