27.3 is what percent of 82.2 - 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 82.2 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 82.2, so we can write it down as 100%=82.2.
4. We know, that x% equals 27.3 of the output value, so we can write it down as x%=27.3.
5. Now we have two simple equations:
1) 100%=82.2
2) x%=27.3
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%=82.2/27.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.3 is what percent of 82.2

100%/x%=82.2/27.3
(100/x)*x=(82.2/27.3)*x       - we multiply both sides of the equation by x
100=3.010989010989*x       - we divide both sides of the equation by (3.010989010989) to get x
100/3.010989010989=x
33.211678832117=x
x=33.211678832117

now we have:
27.3 is 33.211678832117% of 82.2