What is 11500 percent of 2.25 - 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 2.25 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 2.25 is 100%, so we can write it down as 2.25=100%.
4. We know, that x is 11500% of the output value, so we can write it down as x=11500%.
5. Now we have two simple equations:
1) 2.25=100%
2) x=11500%
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:
2.25/x=100%/11500%
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 11500% of 2.25

2.25/x=100/11500
(2.25/x)*x=(100/11500)*x       - we multiply both sides of the equation by x
2.25=0.008695652173913*x       - we divide both sides of the equation by (0.008695652173913) to get x
2.25/0.008695652173913=x
258.75=x
x=258.75

now we have:
11500% of 2.25=258.75