108.1 is what percent of 164.7 - 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 164.7 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 164.7, so we can write it down as 100%=164.7.
4. We know, that x% equals 108.1 of the output value, so we can write it down as x%=108.1.
5. Now we have two simple equations:
1) 100%=164.7
2) x%=108.1
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%=164.7/108.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.1 is what percent of 164.7

100%/x%=164.7/108.1
(100/x)*x=(164.7/108.1)*x       - we multiply both sides of the equation by x
100=1.5235892691952*x       - we divide both sides of the equation by (1.5235892691952) to get x
100/1.5235892691952=x
65.634486945962=x
x=65.634486945962

now we have:
108.1 is 65.634486945962% of 164.7