48.21 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 48.21 of the output value, so we can write it down as x%=48.21.
5. Now we have two simple equations:
1) 100%=12
2) x%=48.21
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%=12/48.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.21 is what percent of 12

100%/x%=12/48.21
(100/x)*x=(12/48.21)*x       - we multiply both sides of the equation by x
100=0.24891101431238*x       - we divide both sides of the equation by (0.24891101431238) to get x
100/0.24891101431238=x
401.75=x
x=401.75

now we have:
48.21 is 401.75% of 12