29.8 is what percent of 149.95 - 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 149.95 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 149.95, so we can write it down as 100%=149.95.
4. We know, that x% equals 29.8 of the output value, so we can write it down as x%=29.8.
5. Now we have two simple equations:
1) 100%=149.95
2) x%=29.8
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%=149.95/29.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.8 is what percent of 149.95

100%/x%=149.95/29.8
(100/x)*x=(149.95/29.8)*x       - we multiply both sides of the equation by x
100=5.0318791946309*x       - we divide both sides of the equation by (5.0318791946309) to get x
100/5.0318791946309=x
19.873291097032=x
x=19.873291097032

now we have:
29.8 is 19.873291097032% of 149.95