29.67 is what percent of 40 - 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 40 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 40, so we can write it down as 100%=40.
4. We know, that x% equals 29.67 of the output value, so we can write it down as x%=29.67.
5. Now we have two simple equations:
1) 100%=40
2) x%=29.67
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%=40/29.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.67 is what percent of 40

100%/x%=40/29.67
(100/x)*x=(40/29.67)*x       - we multiply both sides of the equation by x
100=1.3481631277385*x       - we divide both sides of the equation by (1.3481631277385) to get x
100/1.3481631277385=x
74.175=x
x=74.175

now we have:
29.67 is 74.175% of 40