29.85 is what percent of 94.85 - 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 94.85 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 94.85, so we can write it down as 100%=94.85.
4. We know, that x% equals 29.85 of the output value, so we can write it down as x%=29.85.
5. Now we have two simple equations:
1) 100%=94.85
2) x%=29.85
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%=94.85/29.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.85 is what percent of 94.85

100%/x%=94.85/29.85
(100/x)*x=(94.85/29.85)*x       - we multiply both sides of the equation by x
100=3.177554438861*x       - we divide both sides of the equation by (3.177554438861) to get x
100/3.177554438861=x
31.470743278861=x
x=31.470743278861

now we have:
29.85 is 31.470743278861% of 94.85