27.9 is what percent of 82.9 - 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 82.9 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 82.9, so we can write it down as 100%=82.9.
4. We know, that x% equals 27.9 of the output value, so we can write it down as x%=27.9.
5. Now we have two simple equations:
1) 100%=82.9
2) x%=27.9
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%=82.9/27.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.9 is what percent of 82.9

100%/x%=82.9/27.9
(100/x)*x=(82.9/27.9)*x       - we multiply both sides of the equation by x
100=2.9713261648746*x       - we divide both sides of the equation by (2.9713261648746) to get x
100/2.9713261648746=x
33.655006031363=x
x=33.655006031363

now we have:
27.9 is 33.655006031363% of 82.9