Question

When a number is decreased by 40% of itself the results is 54. What is the number

Answer 1

Alright, this is simple. You know what the new number is, 54. You know the original number was decreased by 40%. Your looking for the original number, X. So set up an equation.
x-.4x=54
When X stands by itself, it's perceived to value 1.00
1.00-.4x=54
(1.00-.4 [40%]=.6)
.6x=54

Divide both sides by .6 to eliminate everything else.
.6x/.6=54/.6

You get 90. Your original number was indeed 90.
To check it, we can do 90/40%, or 90/.4=54

~Hope this helps!