49.1 is what percent of 143.9 - 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 143.9 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 143.9, so we can write it down as 100%=143.9.
4. We know, that x% equals 49.1 of the output value, so we can write it down as x%=49.1.
5. Now we have two simple equations:
1) 100%=143.9
2) x%=49.1
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%=143.9/49.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.1 is what percent of 143.9

100%/x%=143.9/49.1
(100/x)*x=(143.9/49.1)*x       - we multiply both sides of the equation by x
100=2.9307535641548*x       - we divide both sides of the equation by (2.9307535641548) to get x
100/2.9307535641548=x
34.120917303683=x
x=34.120917303683

now we have:
49.1 is 34.120917303683% of 143.9