43.95 is what percent of 148.95 - 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 148.95 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 148.95, so we can write it down as 100%=148.95.
4. We know, that x% equals 43.95 of the output value, so we can write it down as x%=43.95.
5. Now we have two simple equations:
1) 100%=148.95
2) x%=43.95
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%=148.95/43.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.95 is what percent of 148.95

100%/x%=148.95/43.95
(100/x)*x=(148.95/43.95)*x       - we multiply both sides of the equation by x
100=3.3890784982935*x       - we divide both sides of the equation by (3.3890784982935) to get x
100/3.3890784982935=x
29.506545820745=x
x=29.506545820745

now we have:
43.95 is 29.506545820745% of 148.95