339.25 is what percent of 360.75 - 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 360.75 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 360.75, so we can write it down as 100%=360.75.
4. We know, that x% equals 339.25 of the output value, so we can write it down as x%=339.25.
5. Now we have two simple equations:
1) 100%=360.75
2) x%=339.25
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%=360.75/339.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 339.25 is what percent of 360.75

100%/x%=360.75/339.25
(100/x)*x=(360.75/339.25)*x       - we multiply both sides of the equation by x
100=1.063375092115*x       - we divide both sides of the equation by (1.063375092115) to get x
100/1.063375092115=x
94.040194040194=x
x=94.040194040194

now we have:
339.25 is 94.040194040194% of 360.75