29.76 is what percent of 479.76 - 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 479.76 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 479.76, so we can write it down as 100%=479.76.
4. We know, that x% equals 29.76 of the output value, so we can write it down as x%=29.76.
5. Now we have two simple equations:
1) 100%=479.76
2) x%=29.76
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%=479.76/29.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.76 is what percent of 479.76

100%/x%=479.76/29.76
(100/x)*x=(479.76/29.76)*x       - we multiply both sides of the equation by x
100=16.120967741935*x       - we divide both sides of the equation by (16.120967741935) to get x
100/16.120967741935=x
6.2031015507754=x
x=6.2031015507754

now we have:
29.76 is 6.2031015507754% of 479.76