27.95 is what percent of 83.44 - 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 83.44 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 83.44, so we can write it down as 100%=83.44.
4. We know, that x% equals 27.95 of the output value, so we can write it down as x%=27.95.
5. Now we have two simple equations:
1) 100%=83.44
2) x%=27.95
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%=83.44/27.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.95 is what percent of 83.44

100%/x%=83.44/27.95
(100/x)*x=(83.44/27.95)*x       - we multiply both sides of the equation by x
100=2.9853309481216*x       - we divide both sides of the equation by (2.9853309481216) to get x
100/2.9853309481216=x
33.497123681687=x
x=33.497123681687

now we have:
27.95 is 33.497123681687% of 83.44