What is 2500 percent of 415000 - 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 415000 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 415000 is 100%, so we can write it down as 415000=100%.
4. We know, that x is 2500% of the output value, so we can write it down as x=2500%.
5. Now we have two simple equations:
1) 415000=100%
2) x=2500%
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:
415000/x=100%/2500%
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 2500% of 415000

415000/x=100/2500
(415000/x)*x=(100/2500)*x       - we multiply both sides of the equation by x
415000=0.04*x       - we divide both sides of the equation by (0.04) to get x
415000/0.04=x
10375000=x
x=10375000

now we have:
2500% of 415000=10375000