346.25 is what percent of 2616.25 - 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 2616.25 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 2616.25, so we can write it down as 100%=2616.25.
4. We know, that x% equals 346.25 of the output value, so we can write it down as x%=346.25.
5. Now we have two simple equations:
1) 100%=2616.25
2) x%=346.25
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%=2616.25/346.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 346.25 is what percent of 2616.25

100%/x%=2616.25/346.25
(100/x)*x=(2616.25/346.25)*x       - we multiply both sides of the equation by x
100=7.5559566787004*x       - we divide both sides of the equation by (7.5559566787004) to get x
100/7.5559566787004=x
13.234591495461=x
x=13.234591495461

now we have:
346.25 is 13.234591495461% of 2616.25