What is 7500 percent of 10900 - 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 10900 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 10900 is 100%, so we can write it down as 10900=100%.
4. We know, that x is 7500% of the output value, so we can write it down as x=7500%.
5. Now we have two simple equations:
1) 10900=100%
2) x=7500%
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:
10900/x=100%/7500%
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 7500% of 10900

10900/x=100/7500
(10900/x)*x=(100/7500)*x       - we multiply both sides of the equation by x
10900=0.013333333333333*x       - we divide both sides of the equation by (0.013333333333333) to get x
10900/0.013333333333333=x
817500=x
x=817500

now we have:
7500% of 10900=817500