Q&A for How to Multiply or Divide Two Percentages

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  • Question
    How can compute percentages in real-life situations?
    David Jia
    Math Tutor
    David Jia is an Academic Tutor and the Founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in various subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. After attaining a perfect 800 math score and a 690 English score on the SAT, David was awarded the Dickinson Scholarship from the University of Miami, where he graduated with a Bachelor’s degree in Business Administration. Additionally, David has worked as an instructor for online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.
    Math Tutor
    Expert Answer
    So simplify percentage computations in real-life scenarios by streamlining the process by combining multiple steps into one. For instance, when calculating a tip for a $20 restaurant meal at 15%, instead of separately finding 15% of $20 and then adding it back, directly multiply $20 by 1.15. This approach eliminates unnecessary calculations and provides the final amount in one step. Extend this method to more complex scenarios, such as factoring in a 9% tax, a 15% tip, and a 20% discount on a $20 restaurant meal. Instead of performing multiple steps, efficiently compute the total amount by multiplying $20 by 1.09 for the tax, then by 1.15 for the tip, and finally by 0.8 for the 20% discount. By incorporating these percentages into a single calculation, you can easily arrive at an accurate total without unnecessary intermediary steps.
  • Question
    How do I multiply negative decimals ?
    Donagan
    Top Answerer
    Multiply the numbers as usual. If you're multiplying two negative decimals, the answer will be positive.
  • Question
    How do I divide a whole number and a percentage?
    Donagan
    Top Answerer
    First convert the percentage to a decimal, then perform the division.
  • Question
    How do I multiply 73919.58 by 32.4%?
    Donagan
    Top Answerer
    Multiply 3919.58 by 0.324.
  • Question
    Sorry, but I don't understand why we need to convert % to decimals or fractions. Why not multiply or divide the whole % number without the % sign and multiply or divide the answer by 100? Much simpler.
    Donagan
    Top Answerer
    Converting to a decimal before multiplying or dividing is a method that helps position the decimal point correctly in the final percentage.
  • Question
    So does .30% =.003?
    Donagan
    Top Answerer
    Yes.
  • Question
    How do I simplify?
    Donagan
    Top Answerer
    Cancel identical factors in both numerator and denominator.
  • Question
    How do I divide fractions?
    Community Answer
    If the divisor is a fraction, invert it, and multiply it by the dividend.
  • Question
    What is the actual process of determining 12% of $1037?
    Donagan
    Top Answerer
    Change 12% to 0.12. Multiply $1,037 by 0.12, which equals $124.44.
  • Question
    What is $18860.00 multiplied by 15%?
    Donagan
    Top Answerer
    ($18,860.00)(15%) = ($18,860.00)(.15) = $2,829.00.
  • Question
    How do I calculate this problem: 10% / 0.1% =?
    Donagan
    Top Answerer
    Convert each percentage to a decimal, and then divide as usual: 0.10 / 0.001 = 100, without a percent sign.
  • Question
    How do I calculate a percentage increase of a whole number? For example, multiply 1000 x 125%.
    Donagan
    Top Answerer
    (1,000)(125%) = (1,000)(1.25) = 1,250. This is a 25% increase of the number 1,000.
  • Question
    If I have $100 making 4% per year, in how many years will it double?
    Donagan
    Top Answerer
  • Question
    Is it possible to directly multiply a percentage with a whole without converting the percentage to a fraction or a decimal?
    Donagan
    Top Answerer
    Yes, multiplying a percentage by a whole number is the same thing as multiplying the equivalent decimal or fraction by that whole number. For example, multiplying 50% by 2 gives you 100%, while multiplying .50 by 2 equals 1.00, and multiplying ½ by 2 equals 2/2 or 1, which is the same as 100%.
  • Question
    Why does 100 + 25% = 133.3? Shouldn't it be 125 (100 x .25 + 100 = 125)?
    Donagan
    Top Answerer
    You're right. Presumably "100 + 25%" means "100 + 25% of 100," which, as you say, is 100 + 25.
  • Question
    The current price of 95 octane petrol is R11.86 at the coast in South Africa. What will the new price be if there is an increase of 8%?
    Donagan
    Top Answerer
    Multiply R11.86 by 0.08. Then add that product to R11.86. That's the new price. You can do it in one step by multiplying R11.86 by 1.08.
  • Question
    How do we times percentages like this 46% x 900?
    Tina X
    Community Answer
    First, you would write 46% as 0.46. 0.46 x 900 = 414. 414 would be your answer.
  • Question
    How do you multiply 500000 by 14?
    Tina X
    Community Answer
    You would solve 14 x 5 first, which is 70. Then, add the 0s. The answer is 7,000,000.
  • Question
    Problem: A yearly salary for an employee is 95k. That is at 15 hours. What is the best way to calculate what they make at 40 hours?
    Tina X
    Community Answer
    According to the information you have, the employee makes 19 k every 3 hours. You can calculate by using ratios.
  • Question
    How do I find the percentage of income vs expenses of expense 399,164 and income of 669,632?
    Donagan
    Top Answerer
    If you are asking how to express the expenses as a percentage of the income, divide the expenses by the income, multiply by 100 and add a percent sign.
  • Question
    38700 X 60% is 23220. So if form tell you to divide 38700 by .6 it is 64500. Form says take cost 60% (divide cost by 0.60). They are not the same?
    Donagan
    Top Answerer
    No, multiplying by 60% (or 0.6) is not the same as dividing by 0.6. They're just the opposite, in fact. If you want to find 60% of some number, you would multiply that number by 0.6. If you want to find a number that is 60% higher than another number, you would divide the lower number by 0.6.
  • Question
    How do I multiply 455.98 by 24.04?
    Community Answer
    First multiply 45598 by 2404. Then in the final product place the decimal point between the fourth and fifth digits from the right, because there are a total of four digits to the right of the decimal points in the two multipliers.
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