65.74 is what percent of 416.16 - 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 416.16 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 416.16, so we can write it down as 100%=416.16.
4. We know, that x% equals 65.74 of the output value, so we can write it down as x%=65.74.
5. Now we have two simple equations:
1) 100%=416.16
2) x%=65.74
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%=416.16/65.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.74 is what percent of 416.16

100%/x%=416.16/65.74
(100/x)*x=(416.16/65.74)*x       - we multiply both sides of the equation by x
100=6.3303924551263*x       - we divide both sides of the equation by (6.3303924551263) to get x
100/6.3303924551263=x
15.796808919646=x
x=15.796808919646

now we have:
65.74 is 15.796808919646% of 416.16