Learn the basics of how to calculate percentages of quantities in this straightforward lesson! To discover a percentage of any number, usage this generic guideline of TRANSLATION: readjust the percentage into a decimal, and also the indigenous "of" right into multiplication. See many examples below.

You are watching: 50 is 60 percent of what number**The concepts and also ideas the this class are also explained in this video:**

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

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

Example 1. Find 70% that 80.Following the shortcut, we write this as 0.7 × 80. Remember the in decimal multiplication, girlfriend multiply together if there were no decimal points, and also the prize will have as countless “decimal digits” to the right of the decimal suggest as the total number of decimal digits of all of the factors. So as soon as you multiply 0.7 × 80, think of multiply 7 × 80 = 560. Since 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 likewise use “common sense” to factor it v logically: 0.7 × 80 have to be less than 80, yet an ext than 1/2 that 80, i beg your pardon is 40. Due to the fact that 7 × 8 = 56, you understand that the answer have to be 56—not 5.6 or 560. |

Example 2. Find 3% that $4,000.First compose it together 0.03 × $4,000. Climate multiply 3 × $4,000 = $12,000. Lastly put the decimal point where it offers the answer 2 decimal digits: $120.00. |

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

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

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

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

**a.** 17% that $4500

**b.** 67% that 27 m

4. Use psychological math to uncover percentages of this quantities.

a. 25% of 240 mi |

5. **a.** A lake has actually a 30-km lengthy shoreline. 6% of the is sandy beach. What percentage of the shoreline is not sandy beach?

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

** a.** What percent that the students execute not have a scholarship?

** b. **How many students have actually a scholarship?

8. Determine the errors the Gladys made. Then find the exactly answer.

9. Uncover the expressions through the same value together 20% that $620.

0.02 × $620 | $620 ÷ 5 |

$620 ÷ 10 × 2 | 2 × $62 |

1 5 | × $620 |

** a.** Calculate the time he spent in every activity.** round the minute to the nearest minute.**

** b.See more: How To Enter Infinity On Ti 84, How Do You Type The Infinity Symbol** brand the part in the circle graph with the surname 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 of a number using psychological math – complimentary lesson

How to calculate percentages – free lesson

Basics of percent of readjust – cost-free lesson

**Interactive fraction, decimal and percentage tool****This tool shows you a fraction visually (bar or pie) and also converts the fraction into a percentage and decimal. Friend can show or hide the equivalent percentage and also decimal./interactives/fraction_decimal_percentage.php**

Place worth Grade 1Grade 2Grade 3Grade 4 | Add & subtract lessonsGrade 1Grade 2Grade 3 | Multiplication grade 3Grade 4 |

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

Decimals Lessons multiply a decimal by a totality number | Percents class | General |