27.82 is what percent of 42.8 - 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 42.8 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 42.8, so we can write it down as 100%=42.8.
4. We know, that x% equals 27.82 of the output value, so we can write it down as x%=27.82.
5. Now we have two simple equations:
1) 100%=42.8
2) x%=27.82
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%=42.8/27.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.82 is what percent of 42.8

100%/x%=42.8/27.82
(100/x)*x=(42.8/27.82)*x       - we multiply both sides of the equation by x
100=1.5384615384615*x       - we divide both sides of the equation by (1.5384615384615) to get x
100/1.5384615384615=x
65=x
x=65

now we have:
27.82 is 65% of 42.8