What is 52.5 percent of 262.5 - 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 262.5 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 262.5 is 100%, so we can write it down as 262.5=100%.
4. We know, that x is 52.5% of the output value, so we can write it down as x=52.5%.
5. Now we have two simple equations:
1) 262.5=100%
2) x=52.5%
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:
262.5/x=100%/52.5%
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 52.5% of 262.5

262.5/x=100/52.5
(262.5/x)*x=(100/52.5)*x       - we multiply both sides of the equation by x
262.5=1.9047619047619*x       - we divide both sides of the equation by (1.9047619047619) to get x
262.5/1.9047619047619=x
137.8125=x
x=137.8125

now we have:
52.5% of 262.5=137.8125