Learn the basics of how to calculation percentages of amounts in this straightforward lesson! To discover a portion of any type of number, use this generic reminder of TRANSLATION: readjust the percentage right into a decimal, and the word "of" right into multiplication. See countless examples below.

You are watching: 17 is 4 percent of what number**The concepts and ideas the this class are also explained in this video:**

You have learned the to discover 1% the a number method finding 1/100 that it. Similarly, detect 60% that a number way finding 60/100 (or 6/10) that it.In this expressions, words “of” translates into multiplication:1% that 90 → 1% × 90& 60% the $700 → 60% × $700.We can likewise write those percentages as decimals:1% of 90 → 0.01 × 90 60% that $700 → 0.6 × $700. This offers us another means to calculation the percentage of a number (or percent of some quantity): |

To calculate a percent of some number, adjust the percentage into a decimal, and also the native "of" into multiplication. |

Example 1. Find 70% that 80.Following the shortcut, we create this as 0.7 × 80. Remember that in decimal multiplication, girlfriend multiply together if there to be no decimal points, and the answer will have as countless “decimal digits” come the ideal of the decimal allude as the total number of decimal number of every one of the factors. So once you multiply 0.7 × 80, think of multiply 7 × 80 = 560. Due to the fact that 0.7 has one decimal digit, and 80 has actually none, the answer has one decimal digit: 56.0 Thus, 0.7 × 80 = 56. You can also use “common sense” to reason it v logically: 0.7 × 80 should be less than 80, yet more than 1/2 of 80, which is 40. Because 7 × 8 = 56, you know that the answer have to be 56—not 5.6 or 560. |

Example 2. Find 3% that $4,000.First write it together 0.03 × $4,000. Climate multiply 3 × $4,000 = $12,000. Finally put the decimal suggest where it provides the answer two decimal digits: $120.00. |

Example 3. Find 23% that 5,500km.Write the expression together 0.23×5,500km and also use a calculator to calculation the product. The price is 1,265km. This answer renders sense since 10% the 5,500km is 550km, therefore 20% is 1,100km. Therefore 1,265km as 23% the 5,500km is a reasonable answer. |

**1. "Translate" the expressions into multiplication by a decimal. Calculate.**

a. 20% the 70______ × ______ = ______ | b. 90% that 50______ × ______ = ______ | c. 9% that 3,000______ × ______ = ______ |

a. 0.6 × 50_____% that ______ = ______ | b. 0.03 × $400_____% that ______ = ______ | c. 0.08 × 6_____% that ______ = ______ |

**a.** 17% the $4500

**b.** 67% of 27 m

4. Use mental math to discover percentages of this quantities.

a. 25% that 240 mi |

5. **a.** A lake has a 30-km lengthy shoreline. 6% of it is sandy beach. What portion of the coast is no sandy beach?

6. Twenty percent the a university’s 4,000 students have a scholarship.

** a.** What percent of the students perform not have actually a scholarship?

** b. **How plenty of students have a scholarship?

8. Determine the errors the Gladys made. Then discover the correct answer.

9. Uncover the expressions v the exact same value together 20% the $620.

0.02 × $620 | $620 ÷ 5 |

$620 ÷ 10 × 2 | 2 × $62 |

1 5 | × $620 |

** a.** Calculate the moment he spent in each activity.** ring the minutes to the nearest minute.**

** b.See more: What Is The Energy Of A Mole Of These Photons, How Many Moles Are In A Photon** label the part in the circle graph with the name of every activity.

**Andy’s usage of Time**

Activity | Percent | Minutes | Hours/minutes |

Sleep | 38% | ||

School | 21% | ||

Soccer | 10% | 144 | 2 h 24 min |

Play | 11% | ||

Eating | 9% | ||

Chores | 9% | ||

Hygiene | 2% | ||

TOTAL | 100% | 1440 | 24 hours |

### See also

Percent – totally free lessonPercentage the a number using mental math – cost-free lesson

How to calculate percentages – complimentary lesson

Basics that percent of adjust – complimentary lesson

**Interactive fraction, decimal and percentage tool****This tool mirrors you a portion visually (bar or pie) and converts the portion into a percentage and decimal. You can present or hide the equivalent percentage and decimal./interactives/fraction_decimal_percentage.php**

Place value Grade 1Grade 2Grade 3Grade 4 | Add & subtract lessonsGrade 1Grade 2Grade 3 | Multiplication great 3Grade 4 |

Division class 3Grade 4 Divisibility | Fraction Lessons including mixed numbers | Geometry class |

Decimals Lessons multiply a decimal by a entirety number | Percents great | General |