227.5 is what percent of 317.5 - 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 317.5 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 100% equals 317.5, so we can write it down as 100%=317.5.
4. We know, that x% equals 227.5 of the output value, so we can write it down as x%=227.5.
5. Now we have two simple equations:
1) 100%=317.5
2) x%=227.5
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:
100%/x%=317.5/227.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 227.5 is what percent of 317.5

100%/x%=317.5/227.5
(100/x)*x=(317.5/227.5)*x       - we multiply both sides of the equation by x
100=1.3956043956044*x       - we divide both sides of the equation by (1.3956043956044) to get x
100/1.3956043956044=x
71.653543307087=x
x=71.653543307087

now we have:
227.5 is 71.653543307087% of 317.5