363.41 is what percent of 469.95 - 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 469.95 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 469.95, so we can write it down as 100%=469.95.
4. We know, that x% equals 363.41 of the output value, so we can write it down as x%=363.41.
5. Now we have two simple equations:
1) 100%=469.95
2) x%=363.41
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%=469.95/363.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 363.41 is what percent of 469.95

100%/x%=469.95/363.41
(100/x)*x=(469.95/363.41)*x       - we multiply both sides of the equation by x
100=1.2931674967667*x       - we divide both sides of the equation by (1.2931674967667) to get x
100/1.2931674967667=x
77.329503138632=x
x=77.329503138632

now we have:
363.41 is 77.329503138632% of 469.95