4.79 is what percent of 41.48 - 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 41.48 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 41.48, so we can write it down as 100%=41.48.
4. We know, that x% equals 4.79 of the output value, so we can write it down as x%=4.79.
5. Now we have two simple equations:
1) 100%=41.48
2) x%=4.79
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%=41.48/4.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.79 is what percent of 41.48

100%/x%=41.48/4.79
(100/x)*x=(41.48/4.79)*x       - we multiply both sides of the equation by x
100=8.6597077244259*x       - we divide both sides of the equation by (8.6597077244259) to get x
100/8.6597077244259=x
11.547733847637=x
x=11.547733847637

now we have:
4.79 is 11.547733847637% of 41.48