48% of what number is 57.6?

the number 57.6 is 100% - because it's the output value of the task.

Step-by-step explanation:

27.648

Step-by-step explanation: 1. We assume, that the number 57.6 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 57.6 is 100%, so we can write it down as 57.6=100%.

4. We know, that x is 48% of the output value, so we can write it down as x=48%.

5. Now we have two simple equations:

1) 57.6=100%

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:

57.6/x=100%/48%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 48% of 57.6

57.6/x=100/48

(57.6/x)*x=(100/48)*x       - we multiply both sides of the equation by x

57.6=2.0833333333333*x       - we divide both sides of the equation by (2.0833333333333) to get x

57.6/2.0833333333333=x

27.648=x

x=27.648

now we have:

48% of 57.6=27.648