29.95 is what percent of 46.95 - 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 46.95 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 46.95, so we can write it down as 100%=46.95.
4. We know, that x% equals 29.95 of the output value, so we can write it down as x%=29.95.
5. Now we have two simple equations:
1) 100%=46.95
2) x%=29.95
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%=46.95/29.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.95 is what percent of 46.95

100%/x%=46.95/29.95
(100/x)*x=(46.95/29.95)*x       - we multiply both sides of the equation by x
100=1.567612687813*x       - we divide both sides of the equation by (1.567612687813) to get x
100/1.567612687813=x
63.791267305644=x
x=63.791267305644

now we have:
29.95 is 63.791267305644% of 46.95