8.53 is what percent of 110 - 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 110 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 110, so we can write it down as 100%=110.
4. We know, that x% equals 8.53 of the output value, so we can write it down as x%=8.53.
5. Now we have two simple equations:
1) 100%=110
2) x%=8.53
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%=110/8.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.53 is what percent of 110

100%/x%=110/8.53
(100/x)*x=(110/8.53)*x       - we multiply both sides of the equation by x
100=12.895662368113*x       - we divide both sides of the equation by (12.895662368113) to get x
100/12.895662368113=x
7.7545454545455=x
x=7.7545454545455

now we have:
8.53 is 7.7545454545455% of 110