107.29 is what percent of 1092.7 - 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 1092.7 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 1092.7, so we can write it down as 100%=1092.7.
4. We know, that x% equals 107.29 of the output value, so we can write it down as x%=107.29.
5. Now we have two simple equations:
1) 100%=1092.7
2) x%=107.29
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%=1092.7/107.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.29 is what percent of 1092.7

100%/x%=1092.7/107.29
(100/x)*x=(1092.7/107.29)*x       - we multiply both sides of the equation by x
100=10.184546556063*x       - we divide both sides of the equation by (10.184546556063) to get x
100/10.184546556063=x
9.8187974741466=x
x=9.8187974741466

now we have:
107.29 is 9.8187974741466% of 1092.7