13.25 is what percent of 490.77 - 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 490.77 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 490.77, so we can write it down as 100%=490.77.
4. We know, that x% equals 13.25 of the output value, so we can write it down as x%=13.25.
5. Now we have two simple equations:
1) 100%=490.77
2) x%=13.25
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%=490.77/13.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.25 is what percent of 490.77

100%/x%=490.77/13.25
(100/x)*x=(490.77/13.25)*x       - we multiply both sides of the equation by x
100=37.039245283019*x       - we divide both sides of the equation by (37.039245283019) to get x
100/37.039245283019=x
2.6998390284655=x
x=2.6998390284655

now we have:
13.25 is 2.6998390284655% of 490.77