22 is what percent of 182 - 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 182 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 182, so we can write it down as 100%=182.
4. We know, that x% equals 22 of the output value, so we can write it down as x%=22.
5. Now we have two simple equations:
1) 100%=182
2) x%=22
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%=182/22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22 is what percent of 182

100%/x%=182/22
(100/x)*x=(182/22)*x       - we multiply both sides of the equation by x
100=8.27272727273*x       - we divide both sides of the equation by (8.27272727273) to get x
100/8.27272727273=x
12.0879120879=x
x=12.0879120879

now we have:
22 is 12.0879120879% of 182