10.09 is what percent of 118.02 - 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 118.02 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 118.02, so we can write it down as 100%=118.02.
4. We know, that x% equals 10.09 of the output value, so we can write it down as x%=10.09.
5. Now we have two simple equations:
1) 100%=118.02
2) x%=10.09
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%=118.02/10.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.09 is what percent of 118.02

100%/x%=118.02/10.09
(100/x)*x=(118.02/10.09)*x       - we multiply both sides of the equation by x
100=11.696729435084*x       - we divide both sides of the equation by (11.696729435084) to get x
100/11.696729435084=x
8.5493984070497=x
x=8.5493984070497

now we have:
10.09 is 8.5493984070497% of 118.02