80% of ? = 84: 80 percent (calculated percentage %) of what number equals 84?

80% of what number = 84?

Detailed calculations & verification

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':


80% = 80 'out of one hundred',


p% is read p 'percent',


p% = p/100 = p ÷ 100


80% = 80/100 = 80 ÷ 100 = 0.8


100% = 100/100 = 100 ÷ 100 = 1


Percentage of 80% of what number = 84?

80% of what number = 84


... is equivalent to:


80% × ? = 84


80% × ? = 84 =>


? =


84 ÷ 80% =


84 ÷ (80 ÷ 100) =


(100 × 84) ÷ 80 =


8,400 ÷ 80 =


105


80% of 105 = 84

Proof

How do we check the result?

If 80% × 105 = 84 =>


Divide 84 by 105...


... And see if we get as a result: 80%


Note:

Multiply a number by the fraction 100/100,
... and its value doesn't change.


100/100 = 100 ÷ 100 = 1


n/100 = n%, any number.


Calculate the percent value:

84 ÷ 105 =


0.8 =


0.8 × 100/100 =


(0.8 × 100)/100 =


80/100 =


80%


So we have proven that the calculations are correct.


Percentage of 80% of what number = 84?
80% × ? = 84

Answer:
80% of 105 = 84

Signs: % percent, ÷ divide, × multiply, = equal, ≈ approximately equal, / fraction bar;

Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark;

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Examples of problems that can be solved using the info that can be found on this section of the website:
  • 25% of the annual profit of a company was invested in buying equipment. Total amount invested in buying of the equipment was 100,000 dollars. What was the annual profit of the company? Rewrite: 25% of the Profit means 100,000 dollars => 25% × Profit = 100,000 dollars => Profit = 100,000 ÷ 25% dollars = 100,000 ÷ 25/100 dollars = 100,000 × 100/25 dollars = 100,000 × 4 dollars = 400,000 dollars;
  • 20% of the students in the terminal year have enrolled into the swimming class. In total, 7 students enrolled. How many students are in the terminal year? Rewrite: 20% of the students means 7 students => 20% × Total number of students = 7 => Total number of students = 7 ÷ 20% = 7 ÷ 20/100 = 7 × 100/20 = 7 × 5 = 35;
  • In the last elections 49% of community memebrs voted for A Party, 32% for B Party, and the rest for C Party. 17,920 people voted for B Party. How many members has the community? Rewrite: 32% of the total community members means 17,920 people => 32% × Total number of community members = 17,920 => Total number of community members = 17,920 ÷ 32% people = 17,920 ÷ 32/100 people = 17,920 × 100/32 people = 17,920/32 × 100 = 560 × 100 people = 56,000 people.