63.51 is what percent of 1028.79 - 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 1028.79 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 1028.79, so we can write it down as 100%=1028.79.
4. We know, that x% equals 63.51 of the output value, so we can write it down as x%=63.51.
5. Now we have two simple equations:
1) 100%=1028.79
2) x%=63.51
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%=1028.79/63.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.51 is what percent of 1028.79

100%/x%=1028.79/63.51
(100/x)*x=(1028.79/63.51)*x       - we multiply both sides of the equation by x
100=16.198866320265*x       - we divide both sides of the equation by (16.198866320265) to get x
100/16.198866320265=x
6.1732715131368=x
x=6.1732715131368

now we have:
63.51 is 6.1732715131368% of 1028.79