110.18 is what percent of 571.2 - 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 571.2 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 571.2, so we can write it down as 100%=571.2.
4. We know, that x% equals 110.18 of the output value, so we can write it down as x%=110.18.
5. Now we have two simple equations:
1) 100%=571.2
2) x%=110.18
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%=571.2/110.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.18 is what percent of 571.2

100%/x%=571.2/110.18
(100/x)*x=(571.2/110.18)*x       - we multiply both sides of the equation by x
100=5.1842439644219*x       - we divide both sides of the equation by (5.1842439644219) to get x
100/5.1842439644219=x
19.289215686275=x
x=19.289215686275

now we have:
110.18 is 19.289215686275% of 571.2