26.75 is what percent of 50.1 - 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 50.1 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 50.1, so we can write it down as 100%=50.1.
4. We know, that x% equals 26.75 of the output value, so we can write it down as x%=26.75.
5. Now we have two simple equations:
1) 100%=50.1
2) x%=26.75
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%=50.1/26.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.75 is what percent of 50.1

100%/x%=50.1/26.75
(100/x)*x=(50.1/26.75)*x       - we multiply both sides of the equation by x
100=1.8728971962617*x       - we divide both sides of the equation by (1.8728971962617) to get x
100/1.8728971962617=x
53.393213572854=x
x=53.393213572854

now we have:
26.75 is 53.393213572854% of 50.1