109.74 is what percent of 1500 - 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 1500 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 1500, so we can write it down as 100%=1500.
4. We know, that x% equals 109.74 of the output value, so we can write it down as x%=109.74.
5. Now we have two simple equations:
1) 100%=1500
2) x%=109.74
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%=1500/109.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.74 is what percent of 1500

100%/x%=1500/109.74
(100/x)*x=(1500/109.74)*x       - we multiply both sides of the equation by x
100=13.668671405139*x       - we divide both sides of the equation by (13.668671405139) to get x
100/13.668671405139=x
7.316=x
x=7.316

now we have:
109.74 is 7.316% of 1500