Question

If 65% of a number is 1,105, what is 82% of the same number?

Answer 1

1394

Explanation:

Answer 2

1394

Explanation

Let
`x` be the number

Since 65% of the number is 1105 and
`x` is the number, 65%
`x` = 1105. Before solving for
`x`, we are going to convert 65% to decimal by dividing it by 100%:

65% =
`(65)/(100) =0.65`

Now we can rewrite our equation and solve for
`x`:

`0.65x=1105`

`x=(1105)/(0.65)`

`x=1700`

Now that we have our number, the only thing left is find the 82% of 1700:

82% =
`(82)/(100) =0.82`

`0.82*1700=1394`

We can conclude that the 82% of the number is 1394