63.64 is what percent of 400.5 - 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 400.5 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 400.5, so we can write it down as 100%=400.5.
4. We know, that x% equals 63.64 of the output value, so we can write it down as x%=63.64.
5. Now we have two simple equations:
1) 100%=400.5
2) x%=63.64
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%=400.5/63.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.64 is what percent of 400.5

100%/x%=400.5/63.64
(100/x)*x=(400.5/63.64)*x       - we multiply both sides of the equation by x
100=6.2932118164676*x       - we divide both sides of the equation by (6.2932118164676) to get x
100/6.2932118164676=x
15.89013732834=x
x=15.89013732834

now we have:
63.64 is 15.89013732834% of 400.5