12.2 is what percent of 6.9 - 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 6.9 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 6.9, so we can write it down as 100%=6.9.
4. We know, that x% equals 12.2 of the output value, so we can write it down as x%=12.2.
5. Now we have two simple equations:
1) 100%=6.9
2) x%=12.2
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%=6.9/12.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.2 is what percent of 6.9

100%/x%=6.9/12.2
(100/x)*x=(6.9/12.2)*x       - we multiply both sides of the equation by x
100=0.5655737704918*x       - we divide both sides of the equation by (0.5655737704918) to get x
100/0.5655737704918=x
176.8115942029=x
x=176.8115942029

now we have:
12.2 is 176.8115942029% of 6.9