479.36 is what percent of 5879.4 - 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 5879.4 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 5879.4, so we can write it down as 100%=5879.4.
4. We know, that x% equals 479.36 of the output value, so we can write it down as x%=479.36.
5. Now we have two simple equations:
1) 100%=5879.4
2) x%=479.36
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%=5879.4/479.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 479.36 is what percent of 5879.4

100%/x%=5879.4/479.36
(100/x)*x=(5879.4/479.36)*x       - we multiply both sides of the equation by x
100=12.265103471295*x       - we divide both sides of the equation by (12.265103471295) to get x
100/12.265103471295=x
8.1532129128823=x
x=8.1532129128823

now we have:
479.36 is 8.1532129128823% of 5879.4