Percentage Of 3 (percent) Calculated Of What Number Equals The ...
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75,000 Is 3% Percent of What Number? 3% Percent of What Number Is 75,000? Find Missing Number
75,000 is 3% percent of what value? 3% of what number equals 75,000? How to find the missing number
Number calculation, finding the missing unknown number (Percentage of) 3% of what number = 75,000?
- A percentage value is nothing but a fraction with a denominator of 100:
- 3% = 3/100 = 3 ÷ 100 = 0.03
- ...
- Let Y be the number that we have to calculate:
- To calculate a percentage of 3% of the number Y is equivalent to multiplying them:
- 3% of Y = 3% × Y
- ...
- We put all the information together and then calculate the number Y:
- 3% × Y = 75,000 ⇒ Y = 75,000 ÷ 3%
- ...
- If necessary, the result of the calculation is rounded off to twelve and / or two decimal places.
- p% of what missing number = the given number N?
Problem 1:
- 25% of the annual profit of a company was invested in buying some new equipment. The total amount invested in buying the new 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;
Problem 2:
- A number of 20% of the students in the terminal year have enrolled into the swimming class. In total, 7 students have enrolled. How many students are in the terminal year?
- Rewrite: 20% of the students means 7 students => 20% × Total number of students = 7 => The total number of students = 7 ÷ 20% = 7 ÷ 20/100 = 7 × 100/20 = 7 × 5 = 35;
Problem 3:
- In the last elections 49% of community memebrs voted for the A Party, 32% for the B Party, and the rest for the C Party. 17,920 people voted for the B Party. How many members are in the community, all in all?
- Rewrite: 32% of the total community members means 17,920 people => 32% × The total number of community members = 17,920 => The 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.
Detailed calculations below:
3% of Y = 75,000 ⇔
3% × Y = 75,000 ⇒
Y =
75,000 ÷ 3% =
75,000 ÷ (3 ÷ 100) =
75,000 × (100 ÷ 3) =
(100 × 75,000) ÷ 3 =
7,500,000 ÷ 3 =
= 2,500,000
75,000 is 3% percent of what number? (Percentage of) 3% of what number is 75,000? 75,000 = 3% of 2,500,000 3% of 2,500,000 = 75,000
The symbols used: % percent, ÷ division, × multiplication, = the equal sign, / the fraction bar, ≈ approximately the same. Writing numbers: comma ',' - as a thousands separator, point '.' as a decimal mark.
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