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

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^