108.09 is what percent of 1018 - 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 1018 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 1018, so we can write it down as 100%=1018.
4. We know, that x% equals 108.09 of the output value, so we can write it down as x%=108.09.
5. Now we have two simple equations:
1) 100%=1018
2) x%=108.09
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%=1018/108.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.09 is what percent of 1018

100%/x%=1018/108.09
(100/x)*x=(1018/108.09)*x       - we multiply both sides of the equation by x
100=9.4180775279859*x       - we divide both sides of the equation by (9.4180775279859) to get x
100/9.4180775279859=x
10.617878192534=x
x=10.617878192534

now we have:
108.09 is 10.617878192534% of 1018