What is 1300 percent of 11500 - 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 11500 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 11500 is 100%, so we can write it down as 11500=100%.
4. We know, that x is 1300% of the output value, so we can write it down as x=1300%.
5. Now we have two simple equations:
1) 11500=100%
2) x=1300%
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:
11500/x=100%/1300%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1300% of 11500

11500/x=100/1300
(11500/x)*x=(100/1300)*x       - we multiply both sides of the equation by x
11500=0.076923076923077*x       - we divide both sides of the equation by (0.076923076923077) to get x
11500/0.076923076923077=x
149500=x
x=149500

now we have:
1300% of 11500=149500