7 is what percent of 29.97 - 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 29.97 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 29.97, so we can write it down as 100%=29.97.
4. We know, that x% equals 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=29.97
2) x%=7
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%=29.97/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 29.97

100%/x%=29.97/7
(100/x)*x=(29.97/7)*x       - we multiply both sides of the equation by x
100=4.2814285714286*x       - we divide both sides of the equation by (4.2814285714286) to get x
100/4.2814285714286=x
23.356690023357=x
x=23.356690023357

now we have:
7 is 23.356690023357% of 29.97