How do you reverse-calculated percentages?

Question

I need to reverse-calculate a %15 discount.
So for example, $10,000 is 85% of x?
How do I solve x?

Answer 1

Instead of multiplying the original by the percentage to obtain the new number, you divide the original.

For example, 10000/0.85 = x, where x is the original price before the 85% sale that reduced the price to 10000.

Answer 2

Think of this like you would an algebra equation:

10000 = .85x.

Then simply manipulate it as you would any other equation:

10000/.85 = x
11764.71 = x

There is also another way of doing this. If you know the amount deducted from the price which was the 15% discount, then you can set up a similar equation to the one above. But this time you would divide by .15.

1764.71 = .15x

1764.71/.15 = x

11764.73 = x.

Which is very close to our original answer.

Answer 3

You said "$10,000 is 85% of x". In other words,
100 = 85/100 * x. Solve for x.

Answer 4

divide 10000 by 85 and then multiply by 100

Answer 5

set up a proportion 10000:85::x:100
85x=1000000
x=1000000/85
=11765

Answer 6

t=n/(100-k*100)/100)

Answer 7

percent = amount / total * 100%
=> total = amount * 100% / percent
=> x = 10,000 * 100 / 85 = $11,764.7

Answer 8

x= 100000/.85

other examples

60 % of no is 600
then
no is 600/.6

x= selling price / (100-discount)%