48 is what percent of 12456 - 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 12456 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 12456, so we can write it down as 100%=12456.
4. We know, that x% equals 48 of the output value, so we can write it down as x%=48.
5. Now we have two simple equations:
1) 100%=12456
2) x%=48
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%=12456/48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48 is what percent of 12456

100%/x%=12456/48
(100/x)*x=(12456/48)*x       - we multiply both sides of the equation by x
100=259.5*x       - we divide both sides of the equation by (259.5) to get x
100/259.5=x
0.38535645472062=x
x=0.38535645472062

now we have:
48 is 0.38535645472062% of 12456