What is 82.5 percent of 415 - 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 415 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 415 is 100%, so we can write it down as 415=100%.
4. We know, that x is 82.5% of the output value, so we can write it down as x=82.5%.
5. Now we have two simple equations:
1) 415=100%
2) x=82.5%
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:
415/x=100%/82.5%
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 82.5% of 415

415/x=100/82.5
(415/x)*x=(100/82.5)*x       - we multiply both sides of the equation by x
415=1.2121212121212*x       - we divide both sides of the equation by (1.2121212121212) to get x
415/1.2121212121212=x
342.375=x
x=342.375

now we have:
82.5% of 415=342.375