1.08 is what percent of 10.53 - 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 10.53 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 10.53, so we can write it down as 100%=10.53.
4. We know, that x% equals 1.08 of the output value, so we can write it down as x%=1.08.
5. Now we have two simple equations:
1) 100%=10.53
2) x%=1.08
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%=10.53/1.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.08 is what percent of 10.53

100%/x%=10.53/1.08
(100/x)*x=(10.53/1.08)*x       - we multiply both sides of the equation by x
100=9.75*x       - we divide both sides of the equation by (9.75) to get x
100/9.75=x
10.25641025641=x
x=10.25641025641

now we have:
1.08 is 10.25641025641% of 10.53