What is 82500 percent of 500000 - 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 500000 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 500000 is 100%, so we can write it down as 500000=100%.
4. We know, that x is 82500% of the output value, so we can write it down as x=82500%.
5. Now we have two simple equations:
1) 500000=100%
2) x=82500%
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:
500000/x=100%/82500%
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 82500% of 500000

500000/x=100/82500
(500000/x)*x=(100/82500)*x       - we multiply both sides of the equation by x
500000=0.0012121212121212*x       - we divide both sides of the equation by (0.0012121212121212) to get x
500000/0.0012121212121212=x
412500000=x
x=412500000

now we have:
82500% of 500000=412500000