50 is what percent of 14.1 - 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 14.1 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 14.1, so we can write it down as 100%=14.1.
4. We know, that x% equals 50 of the output value, so we can write it down as x%=50.
5. Now we have two simple equations:
1) 100%=14.1
2) x%=50
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%=14.1/50
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50 is what percent of 14.1

100%/x%=14.1/50
(100/x)*x=(14.1/50)*x       - we multiply both sides of the equation by x
100=0.282*x       - we divide both sides of the equation by (0.282) to get x
100/0.282=x
354.60992907801=x
x=354.60992907801

now we have:
50 is 354.60992907801% of 14.1