21.75 is what percent of 12 - 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 12 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 12, so we can write it down as 100%=12.
4. We know, that x% equals 21.75 of the output value, so we can write it down as x%=21.75.
5. Now we have two simple equations:
1) 100%=12
2) x%=21.75
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%=12/21.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.75 is what percent of 12

100%/x%=12/21.75
(100/x)*x=(12/21.75)*x       - we multiply both sides of the equation by x
100=0.55172413793103*x       - we divide both sides of the equation by (0.55172413793103) to get x
100/0.55172413793103=x
181.25=x
x=181.25

now we have:
21.75 is 181.25% of 12