What is 202.5 percent of 247.5 - 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 247.5 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 247.5 is 100%, so we can write it down as 247.5=100%.
4. We know, that x is 202.5% of the output value, so we can write it down as x=202.5%.
5. Now we have two simple equations:
1) 247.5=100%
2) x=202.5%
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:
247.5/x=100%/202.5%
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 202.5% of 247.5

247.5/x=100/202.5
(247.5/x)*x=(100/202.5)*x       - we multiply both sides of the equation by x
247.5=0.49382716049383*x       - we divide both sides of the equation by (0.49382716049383) to get x
247.5/0.49382716049383=x
501.1875=x
x=501.1875

now we have:
202.5% of 247.5=501.1875