109.1 is what percent of 297.5 - 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 297.5 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 297.5, so we can write it down as 100%=297.5.
4. We know, that x% equals 109.1 of the output value, so we can write it down as x%=109.1.
5. Now we have two simple equations:
1) 100%=297.5
2) x%=109.1
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%=297.5/109.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.1 is what percent of 297.5

100%/x%=297.5/109.1
(100/x)*x=(297.5/109.1)*x       - we multiply both sides of the equation by x
100=2.7268560953254*x       - we divide both sides of the equation by (2.7268560953254) to get x
100/2.7268560953254=x
36.672268907563=x
x=36.672268907563

now we have:
109.1 is 36.672268907563% of 297.5