427.44 is what percent of 668.64 - 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 668.64 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 668.64, so we can write it down as 100%=668.64.
4. We know, that x% equals 427.44 of the output value, so we can write it down as x%=427.44.
5. Now we have two simple equations:
1) 100%=668.64
2) x%=427.44
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%=668.64/427.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 427.44 is what percent of 668.64

100%/x%=668.64/427.44
(100/x)*x=(668.64/427.44)*x       - we multiply both sides of the equation by x
100=1.5642897248737*x       - we divide both sides of the equation by (1.5642897248737) to get x
100/1.5642897248737=x
63.926776740847=x
x=63.926776740847

now we have:
427.44 is 63.926776740847% of 668.64