Question

What number is 76.8% of 42.5

Answer 1

To get the solution, we are looking for, we need to point out what we know. 

1. We assume, that the number 42.5 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 42.5 is 100%, so we can write it down as 42.5=100%. 
4. We know, that x is 76.8% of the output value, so we can write it down as x=76.8%. 
5. Now we have two simple equations:
1) 42.5=100%
2) x=76.8%
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:
42.5/x=100%/76.8%
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 76.8% of 42.5

42.5/x=100/76.8
(42.5/x)*x=(100/76.8)*x       - we multiply both sides of the equation by x
42.5=1.30208333333*x       - we divide both sides of the equation by (1.30208333333) to get x
42.5/1.30208333333=x 
32.64=x 
x=32.64

now we have: 
76.8% of 42.5=32.64