46.32 is what percent of 329.32 - 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 329.32 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 329.32, so we can write it down as 100%=329.32.
4. We know, that x% equals 46.32 of the output value, so we can write it down as x%=46.32.
5. Now we have two simple equations:
1) 100%=329.32
2) x%=46.32
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%=329.32/46.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.32 is what percent of 329.32

100%/x%=329.32/46.32
(100/x)*x=(329.32/46.32)*x       - we multiply both sides of the equation by x
100=7.1096718480138*x       - we divide both sides of the equation by (7.1096718480138) to get x
100/7.1096718480138=x
14.065346775173=x
x=14.065346775173

now we have:
46.32 is 14.065346775173% of 329.32