What is 272.5 percent of 307.5 - 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 307.5 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 307.5 is 100%, so we can write it down as 307.5=100%.
4. We know, that x is 272.5% of the output value, so we can write it down as x=272.5%.
5. Now we have two simple equations:
1) 307.5=100%
2) x=272.5%
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:
307.5/x=100%/272.5%
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 272.5% of 307.5

307.5/x=100/272.5
(307.5/x)*x=(100/272.5)*x       - we multiply both sides of the equation by x
307.5=0.36697247706422*x       - we divide both sides of the equation by (0.36697247706422) to get x
307.5/0.36697247706422=x
837.9375=x
x=837.9375

now we have:
272.5% of 307.5=837.9375