Question 309004
Say the item is $100, if you divide by 0.35, you then get {{{100/0.35=285.714286}}} which is clearly NOT a discount (unless you like paying more for something that should be less)



Instead, when that same $100 item is discounted by 35%, this basically means that you are subtracting 35% of that item's price from the price of the item. Recall that 35% is 0.35 in decimal form. So if a item is originally $100, then a 35% discount reduces the price to {{{100-100*0.35=100-35=65}}} dollars.



In general, an item at D dollars discounts to {{{D-0.35D=0.65D}}}. Take note that if {{{D=100}}}, then {{{0.65D=0.65(100)=65}}} which is what we originally got.


So the new price after the 35% discount is {{{0.65D}}} dollars.