63 is what percent of 162.8 - 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 162.8 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 162.8, so we can write it down as 100%=162.8.
4. We know, that x% equals 63 of the output value, so we can write it down as x%=63.
5. Now we have two simple equations:
1) 100%=162.8
2) x%=63
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%=162.8/63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63 is what percent of 162.8

100%/x%=162.8/63
(100/x)*x=(162.8/63)*x       - we multiply both sides of the equation by x
100=2.584126984127*x       - we divide both sides of the equation by (2.584126984127) to get x
100/2.584126984127=x
38.697788697789=x
x=38.697788697789

now we have:
63 is 38.697788697789% of 162.8