84.09 is what percent of 27.62 - 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 27.62 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 27.62, so we can write it down as 100%=27.62.
4. We know, that x% equals 84.09 of the output value, so we can write it down as x%=84.09.
5. Now we have two simple equations:
1) 100%=27.62
2) x%=84.09
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%=27.62/84.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.09 is what percent of 27.62

100%/x%=27.62/84.09
(100/x)*x=(27.62/84.09)*x       - we multiply both sides of the equation by x
100=0.32845760494708*x       - we divide both sides of the equation by (0.32845760494708) to get x
100/0.32845760494708=x
304.45329471398=x
x=304.45329471398

now we have:
84.09 is 304.45329471398% of 27.62