## Detailed calculations below:

### Introduction. Fractions

#### A fraction consists of two numbers and a fraction bar: ^{546}/_{44}

#### The number above the bar is the numerator: 546

#### The number below the bar is the denominator: 44

#### The fraction bar means that the two numbers are dividing themselves:

^{546}/_{44} = 546 ÷ 44

#### Divide the numerator by the denominator to get fraction's value:

Value = 546 ÷ 44

### Introduction. Percent

#### 'Percent (%)' means 'out of one hundred':

#### p% = p 'out of one hundred',

#### p% = ^{p}/_{100} = p ÷ 100

### Note:

#### The fraction ^{100}/_{100} = 100 ÷ 100 = 100% = 1

#### Multiply a number by the fraction ^{100}/_{100},

... and its value doesn't change.

## Rewrite the fraction:

### As a mixed number (mixed fraction):

#### A mixed number (mixed fraction): a whole number and a proper fraction, of the same sign.

#### A proper fraction: numerator smaller than denominator.

#### 273 ÷ 22 = 12 and remainder = 9 =>

#### 273 = 12 × 22 + 9 =>

^{273}/_{22} =

^{(12 × 22 + 9)} / _{22} =

^{(12 × 22)} / _{22} + ^{9} / _{22} =

#### 12 + ^{9}/_{22} =

#### 12 ^{9}/_{22}

### As a decimal number:

#### 12 ^{9}/_{22} =

#### 12 + ^{9}/_{22} =

#### 12 + 9 ÷ 22 ≈

#### 12.409090909091 ≈

#### 12.41

### As a percentage:

#### 12.409090909091 =

#### 12.409090909091 × ^{100}/_{100} =

#### ^{1,240.909090909091}/_{100} =

#### 1,240.909090909091% ≈

#### 1,240.91%

#### In other words:

#### 1) Calculate fraction's value.

#### 2) Multiply that number by 100.

#### 3) Add the percent sign % to it.

## Final answer

continued below...