109.19 is what percent of 120.99 - 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 120.99 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 120.99, so we can write it down as 100%=120.99.
4. We know, that x% equals 109.19 of the output value, so we can write it down as x%=109.19.
5. Now we have two simple equations:
1) 100%=120.99
2) x%=109.19
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%=120.99/109.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.19 is what percent of 120.99

100%/x%=120.99/109.19
(100/x)*x=(120.99/109.19)*x       - we multiply both sides of the equation by x
100=1.1080685044418*x       - we divide both sides of the equation by (1.1080685044418) to get x
100/1.1080685044418=x
90.247127861807=x
x=90.247127861807

now we have:
109.19 is 90.247127861807% of 120.99