49.98 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 49.98 of the output value, so we can write it down as x%=49.98.
5. Now we have two simple equations:
1) 100%=149.95
2) x%=49.98
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%=149.95/49.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.98 is what percent of 149.95

100%/x%=149.95/49.98
(100/x)*x=(149.95/49.98)*x       - we multiply both sides of the equation by x
100=3.000200080032*x       - we divide both sides of the equation by (3.000200080032) to get x
100/3.000200080032=x
33.331110370123=x
x=33.331110370123

now we have:
49.98 is 33.331110370123% of 149.95