45.9 is what percent of 329.5 - 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 329.5 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 329.5, so we can write it down as 100%=329.5.
4. We know, that x% equals 45.9 of the output value, so we can write it down as x%=45.9.
5. Now we have two simple equations:
1) 100%=329.5
2) x%=45.9
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%=329.5/45.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.9 is what percent of 329.5

100%/x%=329.5/45.9
(100/x)*x=(329.5/45.9)*x       - we multiply both sides of the equation by x
100=7.1786492374728*x       - we divide both sides of the equation by (7.1786492374728) to get x
100/7.1786492374728=x
13.930197268589=x
x=13.930197268589

now we have:
45.9 is 13.930197268589% of 329.5