261.25 is what percent of 313.5 - 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 313.5 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 313.5, so we can write it down as 100%=313.5.
4. We know, that x% equals 261.25 of the output value, so we can write it down as x%=261.25.
5. Now we have two simple equations:
1) 100%=313.5
2) x%=261.25
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%=313.5/261.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 261.25 is what percent of 313.5

100%/x%=313.5/261.25
(100/x)*x=(313.5/261.25)*x       - we multiply both sides of the equation by x
100=1.2*x       - we divide both sides of the equation by (1.2) to get x
100/1.2=x
83.333333333333=x
x=83.333333333333

now we have:
261.25 is 83.333333333333% of 313.5