50.89 is what percent of 301.9 - 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 301.9 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 301.9, so we can write it down as 100%=301.9.
4. We know, that x% equals 50.89 of the output value, so we can write it down as x%=50.89.
5. Now we have two simple equations:
1) 100%=301.9
2) x%=50.89
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%=301.9/50.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.89 is what percent of 301.9

100%/x%=301.9/50.89
(100/x)*x=(301.9/50.89)*x       - we multiply both sides of the equation by x
100=5.9324032226371*x       - we divide both sides of the equation by (5.9324032226371) to get x
100/5.9324032226371=x
16.856575024843=x
x=16.856575024843

now we have:
50.89 is 16.856575024843% of 301.9