What is 72.5 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 72.5% of the output value, so we can write it down as x=72.5%.
5. Now we have two simple equations:
1) 362.5=100%
2) x=72.5%
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:
362.5/x=100%/72.5%
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 72.5% of 362.5

362.5/x=100/72.5
(362.5/x)*x=(100/72.5)*x       - we multiply both sides of the equation by x
362.5=1.3793103448276*x       - we divide both sides of the equation by (1.3793103448276) to get x
362.5/1.3793103448276=x
262.8125=x
x=262.8125

now we have:
72.5% of 362.5=262.8125