“Percentage” or “percent” means out of 100

Mathematical sign of percentage is % |

Thus x per cent means x hundredths.

Now it will be written as X%

We can also define X% as a fraction. so, X% | = | X |

100 |

### Example

15% | = | 15 |

100 |

Note: The numerator (15) of the fraction is called “rate per cent”.

## Operations of Percentage

To represent a percentage as a Fraction;

1. Divide the percentage by 100 or multiply the fraction with | 1 |

100 | |

2. After this just remove the percentage sign (%). |

## Example:

After converting 20% into fraction, the result will be | 20 |

100 |

To represent a fraction as a percentage;

1. Multiply the percentage with 100 |

2. After this we have to add the percentage (%) sign. |

### Example

After converting | 40 | into fraction, the result will be | 40% |

100 |

To represents one number as a per cent of another;

### Example

Question: What % of 16 is 24?

16 | X 100% | = 150% | |

80 |