19.75 is what percent of 27.27 - 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 27.27 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 27.27, so we can write it down as 100%=27.27.
4. We know, that x% equals 19.75 of the output value, so we can write it down as x%=19.75.
5. Now we have two simple equations:
1) 100%=27.27
2) x%=19.75
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%=27.27/19.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.75 is what percent of 27.27

100%/x%=27.27/19.75
(100/x)*x=(27.27/19.75)*x       - we multiply both sides of the equation by x
100=1.3807594936709*x       - we divide both sides of the equation by (1.3807594936709) to get x
100/1.3807594936709=x
72.423909057572=x
x=72.423909057572

now we have:
19.75 is 72.423909057572% of 27.27