394.41 is what percent of 618.22 - 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 618.22 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 618.22, so we can write it down as 100%=618.22.
4. We know, that x% equals 394.41 of the output value, so we can write it down as x%=394.41.
5. Now we have two simple equations:
1) 100%=618.22
2) x%=394.41
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%=618.22/394.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 394.41 is what percent of 618.22

100%/x%=618.22/394.41
(100/x)*x=(618.22/394.41)*x       - we multiply both sides of the equation by x
100=1.5674551862275*x       - we divide both sides of the equation by (1.5674551862275) to get x
100/1.5674551862275=x
63.79767720229=x
x=63.79767720229

now we have:
394.41 is 63.79767720229% of 618.22