What is 1500 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 1500% of the output value, so we can write it down as x=1500%.
5. Now we have two simple equations:
1) 10900=100%
2) x=1500%
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%/1500%
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 1500% of 10900

10900/x=100/1500
(10900/x)*x=(100/1500)*x       - we multiply both sides of the equation by x
10900=0.066666666666667*x       - we divide both sides of the equation by (0.066666666666667) to get x
10900/0.066666666666667=x
163500=x
x=163500

now we have:
1500% of 10900=163500