What is 82.65 percent of 362.5 - 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 362.5 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 362.5 is 100%, so we can write it down as 362.5=100%.
4. We know, that x is 82.65% of the output value, so we can write it down as x=82.65%.
5. Now we have two simple equations:
1) 362.5=100%
2) x=82.65%
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:
362.5/x=100%/82.65%
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 82.65% of 362.5

362.5/x=100/82.65
(362.5/x)*x=(100/82.65)*x       - we multiply both sides of the equation by x
362.5=1.2099213551119*x       - we divide both sides of the equation by (1.2099213551119) to get x
362.5/1.2099213551119=x
299.60625=x
x=299.60625

now we have:
82.65% of 362.5=299.60625