What is 17.5 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 17.5% of the output value, so we can write it down as x=17.5%.
5. Now we have two simple equations:
1) 82.5=100%
2) x=17.5%
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%/17.5%
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 17.5% of 82.5

82.5/x=100/17.5
(82.5/x)*x=(100/17.5)*x       - we multiply both sides of the equation by x
82.5=5.7142857142857*x       - we divide both sides of the equation by (5.7142857142857) to get x
82.5/5.7142857142857=x
14.4375=x
x=14.4375

now we have:
17.5% of 82.5=14.4375