109.5 is what percent of 113 - 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 113 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 113, so we can write it down as 100%=113.
4. We know, that x% equals 109.5 of the output value, so we can write it down as x%=109.5.
5. Now we have two simple equations:
1) 100%=113
2) x%=109.5
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%=113/109.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.5 is what percent of 113

100%/x%=113/109.5
(100/x)*x=(113/109.5)*x       - we multiply both sides of the equation by x
100=1.0319634703196*x       - we divide both sides of the equation by (1.0319634703196) to get x
100/1.0319634703196=x
96.902654867257=x
x=96.902654867257

now we have:
109.5 is 96.902654867257% of 113