What is 57.5 percent of 82.5 - 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 82.5 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 82.5 is 100%, so we can write it down as 82.5=100%.
4. We know, that x is 57.5% of the output value, so we can write it down as x=57.5%.
5. Now we have two simple equations:
1) 82.5=100%
2) x=57.5%
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:
82.5/x=100%/57.5%
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 57.5% of 82.5

82.5/x=100/57.5
(82.5/x)*x=(100/57.5)*x       - we multiply both sides of the equation by x
82.5=1.7391304347826*x       - we divide both sides of the equation by (1.7391304347826) to get x
82.5/1.7391304347826=x
47.4375=x
x=47.4375

now we have:
57.5% of 82.5=47.4375