29.2 is what percent of 75 - 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 75 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 75, so we can write it down as 100%=75.
4. We know, that x% equals 29.2 of the output value, so we can write it down as x%=29.2.
5. Now we have two simple equations:
1) 100%=75
2) x%=29.2
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%=75/29.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.2 is what percent of 75

100%/x%=75/29.2
(100/x)*x=(75/29.2)*x       - we multiply both sides of the equation by x
100=2.5684931506849*x       - we divide both sides of the equation by (2.5684931506849) to get x
100/2.5684931506849=x
38.933333333333=x
x=38.933333333333

now we have:
29.2 is 38.933333333333% of 75