109.65 is what percent of 1329.05 - 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 1329.05 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 1329.05, so we can write it down as 100%=1329.05.
4. We know, that x% equals 109.65 of the output value, so we can write it down as x%=109.65.
5. Now we have two simple equations:
1) 100%=1329.05
2) x%=109.65
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%=1329.05/109.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.65 is what percent of 1329.05

100%/x%=1329.05/109.65
(100/x)*x=(1329.05/109.65)*x       - we multiply both sides of the equation by x
100=12.120839033288*x       - we divide both sides of the equation by (12.120839033288) to get x
100/12.120839033288=x
8.2502539407848=x
x=8.2502539407848

now we have:
109.65 is 8.2502539407848% of 1329.05