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

7. Solution for 82.9 is what percent of 27.9

100%/x%=27.9/82.9
(100/x)*x=(27.9/82.9)*x       - we multiply both sides of the equation by x
100=0.33655006031363*x       - we divide both sides of the equation by (0.33655006031363) to get x
100/0.33655006031363=x
297.13261648746=x
x=297.13261648746

now we have:
82.9 is 297.13261648746% of 27.9