14.64 is what percent of 33.74 - 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 33.74 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 33.74, so we can write it down as 100%=33.74.
4. We know, that x% equals 14.64 of the output value, so we can write it down as x%=14.64.
5. Now we have two simple equations:
1) 100%=33.74
2) x%=14.64
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%=33.74/14.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.64 is what percent of 33.74

100%/x%=33.74/14.64
(100/x)*x=(33.74/14.64)*x       - we multiply both sides of the equation by x
100=2.3046448087432*x       - we divide both sides of the equation by (2.3046448087432) to get x
100/2.3046448087432=x
43.390634262004=x
x=43.390634262004

now we have:
14.64 is 43.390634262004% of 33.74