**In mathematics, a percentage is a number or ratio expressed as a fraction of 100.**

The percentage chart is given here for fractions converted into percentage.

Fractions | Percentage |

1/2 | 50% |

1/3 | 33.33% |

1/4 | 25% |

1/5 | 20% |

1/6 | 16.66% |

1/7 | 14.28% |

1/8 | 12.5% |

1/9 | 11.11% |

1/10 | 10% |

1/11 | 9.09% |

1/12 | 8.33% |

1/13 | 7.69% |

1/14 | 7.14% |

1/15 | 6.66% |

**A salesman bought 200 apples and 200 bananas. He found 15% of oranges and 8% of bananas were rotten. Find the percentage of fruits in good condition.**

**Solution:**

Total number of fruits salesman bought = 200 + 200 = 400

Number of rotten apples = 15% of 200

= 15/100 × 200

=15x 200

= 3000/100

= 30

Number of rotten bananas = 8% of 200

= 8/100 × 200

= 200×8

= 1600/100

= 16

hence, total number of rotten fruits = 30 + 16 = 42

rotten fruits

30 apples

16 bananas

Therefore the Number of fruits in good condition = 400 – 42 = 358

fruits in good condition

170 apples

186 bananas

Find 10 % of $ 1500

**Solution: **

10 % of $ 1500

= 10/100 × 1500

= $150

Find 10 % of 900

**Solution: **

15% of 900

= 15/100 × 900

= 135

**A fruit seller had some mangoes. He sells 40% mangoes and still has 420 mangoes left. Originally, he had how many mangoes?**

NB: Let X be the mangoes he had originally.

**solution **

(100 – 40)% of **M **= 420

⇒ (60/100)x**M **= 420

⇒ **M **= (420 x 100/60) = 700

**How to Express percentage as decimals:**

(i) 21 % = 21/100 = 0.21

(ii) 16 % = 16/100 = 0.16

(iii) 25 % = 22/100 = 0.25

(iv) 5 % = 5/100 = 0.05

(v) 50 % = 50/100 = 0.50

Questions and Answers on Percentage into Decimal:

**I. Convert the following percentages to decimals:**

(i) 15%

(ii) 13%

(iii) 20%

(iv) 75%

(v) 45%

(vi) 86%

**Answers:**

(i) 0.15

(ii) 0.13

(iii) 0.2

(iv) 0.75

(v) 0.44

(vi) 0.86

Percent | Decimal | Fraction |
---|---|---|

10% | 0.1 | ^{1}/_{10} |

12½% | 0.125 | ^{1}/_{8} |

20% | 0.2 | ^{1}/_{5} |

25% 75% | 0.25 0.75 | ^{1}/_{4}3/4 |