109.2 is what percent of 1560 - 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 1560 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 1560, so we can write it down as 100%=1560.
4. We know, that x% equals 109.2 of the output value, so we can write it down as x%=109.2.
5. Now we have two simple equations:
1) 100%=1560
2) x%=109.2
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%=1560/109.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.2 is what percent of 1560

100%/x%=1560/109.2
(100/x)*x=(1560/109.2)*x       - we multiply both sides of the equation by x
100=14.2857142857*x       - we divide both sides of the equation by (14.2857142857) to get x
100/14.2857142857=x
7=x
x=7

now we have:
109.2 is 7% of 1560