Question

What number after being decreased by 12% results in a value of 220?

Round your answer to the nearest hundredth, if necessary.

Answer 1

250

Explanation:

When 12% of a number of is subtracted, only (100 - 12)% of it remains, and this simplifies to 88%. So, we know that 220 is 88% of the original number.

This can be represented with an equation, where we can name the original number as a variable, such as
`x`:

`220 = 88\% \cdot x`

Now, we can solve for
`x` by multiplying both sides by (100% / 88%):

`220 \cdot (100\%/88\%) = \ \\ot\!\!88\% \cdot x \cdot (100\%)/(\\ot\!\!88\%)`

`220 \cdot (25)/(22) = x`

Finally, executing the multiplication, we get:

`x = (220\cdot 25)/(22)`

`x = (220)/(22) \cdot 25`

`x = 10 \cdot 25`

`\boxed{x=250}`