30 is what percent of 349.95 - 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 349.95 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 349.95, so we can write it down as 100%=349.95.
4. We know, that x% equals 30 of the output value, so we can write it down as x%=30.
5. Now we have two simple equations:
1) 100%=349.95
2) x%=30
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%=349.95/30
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30 is what percent of 349.95

100%/x%=349.95/30
(100/x)*x=(349.95/30)*x       - we multiply both sides of the equation by x
100=11.665*x       - we divide both sides of the equation by (11.665) to get x
100/11.665=x
8.5726532361766=x
x=8.5726532361766

now we have:
30 is 8.5726532361766% of 349.95