Question

$1.12 is what percent of $2.24? ​

Answer 1

`\huge{ \bold{ \boxed{ \text{ \: 50 \%}}}}`

Explanation:

`\text{Let \: the \: missing \: percent \: be \: x \: \%}`

`\text{Create \: an \: equation \: and \: solve \: for \: x}.`

`\rm{ \: 1.12 \: = \: x\% \: of \: \ \: 2.24}`

`\text{Step \: 1 : Swap \: the \: sides \: of \: the \: equation.}`

`\longrightarrow \: \rm{ x\% \: of \: 2.24 = \: 1.12}`

`\text{Step \: 2 : \: Convert \: x\% \: to \: a \:fraction}`

`\text{ \: To \: convert \: a \: percentage \: to \: a \: fraction, \: divide \: it \: by \: 100} .`

`\longrightarrow{ \rm{ \: (x)/(100) * \: 2.24 = \: 1.12}}`

`\longrightarrow{ \rm{ \: (2.24x)/(100) = \ \: 1.12}}`

`\text{Step \: 3 : Apply \: cross \: product \: property}`

`\longrightarrow \rm{2.24x = 1.12 * 100}`

`\longrightarrow \: \rm{2.24x = 112}`

`\text{Step \: 4 : \: Divide \: both \: sides \: by \: 2.24}`

`\longrightarrow \rm{ (2.24x)/(2.24) = (112)/(2.24)}`

`\longrightarrow{\boxed{ \rm{{x = 50}}}}`

`\text{Hope \: I \: helped!}`

`\text{Best \: regards!}`

~
`\text{TheAnimeGirl}`