4.18 is what percent of 29.68 - 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 29.68 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 29.68, so we can write it down as 100%=29.68.
4. We know, that x% equals 4.18 of the output value, so we can write it down as x%=4.18.
5. Now we have two simple equations:
1) 100%=29.68
2) x%=4.18
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%=29.68/4.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.18 is what percent of 29.68

100%/x%=29.68/4.18
(100/x)*x=(29.68/4.18)*x       - we multiply both sides of the equation by x
100=7.1004784688995*x       - we divide both sides of the equation by (7.1004784688995) to get x
100/7.1004784688995=x
14.083557951482=x
x=14.083557951482

now we have:
4.18 is 14.083557951482% of 29.68