4.2 is what percent of 29.99 - 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 29.99 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 29.99, so we can write it down as 100%=29.99.
4. We know, that x% equals 4.2 of the output value, so we can write it down as x%=4.2.
5. Now we have two simple equations:
1) 100%=29.99
2) x%=4.2
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%=29.99/4.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.2 is what percent of 29.99

100%/x%=29.99/4.2
(100/x)*x=(29.99/4.2)*x       - we multiply both sides of the equation by x
100=7.1404761904762*x       - we divide both sides of the equation by (7.1404761904762) to get x
100/7.1404761904762=x
14.004668222741=x
x=14.004668222741

now we have:
4.2 is 14.004668222741% of 29.99