1506.5 is what percent of 13283.5 - 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 13283.5 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 13283.5, so we can write it down as 100%=13283.5.
4. We know, that x% equals 1506.5 of the output value, so we can write it down as x%=1506.5.
5. Now we have two simple equations:
1) 100%=13283.5
2) x%=1506.5
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%=13283.5/1506.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1506.5 is what percent of 13283.5

100%/x%=13283.5/1506.5
(100/x)*x=(13283.5/1506.5)*x       - we multiply both sides of the equation by x
100=8.8174576833721*x       - we divide both sides of the equation by (8.8174576833721) to get x
100/8.8174576833721=x
11.341137501412=x
x=11.341137501412

now we have:
1506.5 is 11.341137501412% of 13283.5