116.1 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 116.1 of the output value, so we can write it down as x%=116.1.
5. Now we have two simple equations:
1) 100%=1500
2) x%=116.1
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%=1500/116.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.1 is what percent of 1500

100%/x%=1500/116.1
(100/x)*x=(1500/116.1)*x       - we multiply both sides of the equation by x
100=12.919896640827*x       - we divide both sides of the equation by (12.919896640827) to get x
100/12.919896640827=x
7.74=x
x=7.74

now we have:
116.1 is 7.74% of 1500