8.19 is what percent of 101.15 - 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 101.15 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 101.15, so we can write it down as 100%=101.15.
4. We know, that x% equals 8.19 of the output value, so we can write it down as x%=8.19.
5. Now we have two simple equations:
1) 100%=101.15
2) x%=8.19
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%=101.15/8.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.19 is what percent of 101.15

100%/x%=101.15/8.19
(100/x)*x=(101.15/8.19)*x       - we multiply both sides of the equation by x
100=12.350427350427*x       - we divide both sides of the equation by (12.350427350427) to get x
100/12.350427350427=x
8.0968858131488=x
x=8.0968858131488

now we have:
8.19 is 8.0968858131488% of 101.15