What is 962.5 percent of 11250 - 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 11250 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 11250 is 100%, so we can write it down as 11250=100%.
4. We know, that x is 962.5% of the output value, so we can write it down as x=962.5%.
5. Now we have two simple equations:
1) 11250=100%
2) x=962.5%
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:
11250/x=100%/962.5%
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 962.5% of 11250

11250/x=100/962.5
(11250/x)*x=(100/962.5)*x       - we multiply both sides of the equation by x
11250=0.1038961038961*x       - we divide both sides of the equation by (0.1038961038961) to get x
11250/0.1038961038961=x
108281.25=x
x=108281.25

now we have:
962.5% of 11250=108281.25