109.39 is what percent of 136.25 - 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 136.25 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 136.25, so we can write it down as 100%=136.25.
4. We know, that x% equals 109.39 of the output value, so we can write it down as x%=109.39.
5. Now we have two simple equations:
1) 100%=136.25
2) x%=109.39
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%=136.25/109.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.39 is what percent of 136.25

100%/x%=136.25/109.39
(100/x)*x=(136.25/109.39)*x       - we multiply both sides of the equation by x
100=1.2455434683243*x       - we divide both sides of the equation by (1.2455434683243) to get x
100/1.2455434683243=x
80.28623853211=x
x=80.28623853211

now we have:
109.39 is 80.28623853211% of 136.25