393.04 is what percent of 490.75 - 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 490.75 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 490.75, so we can write it down as 100%=490.75.
4. We know, that x% equals 393.04 of the output value, so we can write it down as x%=393.04.
5. Now we have two simple equations:
1) 100%=490.75
2) x%=393.04
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%=490.75/393.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 393.04 is what percent of 490.75

100%/x%=490.75/393.04
(100/x)*x=(490.75/393.04)*x       - we multiply both sides of the equation by x
100=1.2486006513332*x       - we divide both sides of the equation by (1.2486006513332) to get x
100/1.2486006513332=x
80.089658685685=x
x=80.089658685685

now we have:
393.04 is 80.089658685685% of 490.75