12.67 is what percent of 211.2 - 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 211.2 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 211.2, so we can write it down as 100%=211.2.
4. We know, that x% equals 12.67 of the output value, so we can write it down as x%=12.67.
5. Now we have two simple equations:
1) 100%=211.2
2) x%=12.67
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%=211.2/12.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.67 is what percent of 211.2

100%/x%=211.2/12.67
(100/x)*x=(211.2/12.67)*x       - we multiply both sides of the equation by x
100=16.669297553275*x       - we divide both sides of the equation by (16.669297553275) to get x
100/16.669297553275=x
5.999053030303=x
x=5.999053030303

now we have:
12.67 is 5.999053030303% of 211.2