22 is what percent of 309 - 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 309 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 309, so we can write it down as 100%=309.
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%=309
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%=309/22
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 309

100%/x%=309/22
(100/x)*x=(309/22)*x       - we multiply both sides of the equation by x
100=14.045454545455*x       - we divide both sides of the equation by (14.045454545455) to get x
100/14.045454545455=x
7.1197411003236=x
x=7.1197411003236

now we have:
22 is 7.1197411003236% of 309