12.75 is what percent of 29.67 - 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 29.67 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 29.67, so we can write it down as 100%=29.67.
4. We know, that x% equals 12.75 of the output value, so we can write it down as x%=12.75.
5. Now we have two simple equations:
1) 100%=29.67
2) x%=12.75
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%=29.67/12.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.75 is what percent of 29.67

100%/x%=29.67/12.75
(100/x)*x=(29.67/12.75)*x       - we multiply both sides of the equation by x
100=2.3270588235294*x       - we divide both sides of the equation by (2.3270588235294) to get x
100/2.3270588235294=x
42.972699696663=x
x=42.972699696663

now we have:
12.75 is 42.972699696663% of 29.67