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- p% of A = ?
- p% of ? = A
- ?% of A = B
- fractions a/b = ?%
- relative change
- p% = ? number
- (1 + p%) × n
- (1 - p%) × n
Percentage of 300% of 1 = ?
Detailed calculations and final verification of the result
A brief introduction:
'Percent (%)' means 'out of one hundred':
300% = 300 'out of one hundred',
p% is read p 'percent',
300% = 300/100 = 300 ÷ 100
What does it mean to calculate the percentage of a number?
300% of 1 = ?
... is equivalent to multiplying them:
300% × 1 = ?
The calculation of the percentage:
300% of 1 =
300% × 1 =
300/100 × 1 =
(300 ÷ 100) × 1 =
300 × 1 ÷ 100 =
300 ÷ 100 =
3
The proof of the calculations
How do we check the result?
If 300% × 1 = 3 =>
Divide 3 by 1...
... And see if we get as a result: 300%
A quick note:
100/100 = 100 ÷ 100 = 100% = 1
Multiply a number by the fraction 100/100,
... and its value doesn't change.
n/100 = n%, for any number.
The calculation of the percentage value:
We will prove below that the calculations are correct.
3 ÷ 1 =
3 =
3 × 100/100 =
(3 × 100)/100 =
300/100 =
300%
The answer:
Percentage of
300% of 1 = 3
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.
The latest 5 percentages of numbers calculated by users
% Online calculator: calculate percentages of numbers, sums of money, quantities
Percent. Percentages.
Percent
- Percent is one hundredth of a given amount, is an amount calculated with reference to a hundred, hundredth, 1 ÷ 100 = 1/100, ie. a fraction with numerator equal to 1 and denominator to one hundred.
- The word comes from the Latin "per Centum", meaning "by the hundred". The latin word "Centum" means "100", for example a century is 100 years. So, "percent" means "per 100".
- Percent means 1/100, two percent means 2/100, three percent means 3/100, and so on.
- Although a fraction, the percent occurs in writing without the denominator (100), but only with the numerator, followed by the sign %: 1 percent = 1%, two percent = 2%, three percent = 3%, and so on.
Percentage
- Percentage is the "result of multiplying a quantity by a certain percent".
- So 10 percent (10 ÷ 100 = 10/100 = 10%) out of 50 apples is 5 apples (10% of 50 = 10/100 × 50 = 500/100 = 5) - the 5 apples is the percentage.
When do we say percent and when percentage?
- The word percent (or the symbol %) accompanies a specific number: around 60 percent (60%) of the people voted for a change.
- The more general word percentage is used without a number: the percentage of the people that voted for a change was around 60 percent (60%);
- Correct: 60 percent (60%) of the people; Incorrect: 60 percentage of the people;
- Correct: a higher percentage of voters; Incorrect: a higher percent of voters;
- Note: In front of the word "percent" use the number, don't spell it out: "60 percent" is right, "sixty percent" is rather not. Always use figures for ages of people (He's 43 years old), dates (May 26), monetary amounts ($80,000), percentages (60 percent) and ratios (2-to-3).
Percentages converted to decimal numbers:
- 1 percent, 1%, means 1 per 100, 1% = 1/100 = 0.01.
- 50 percent, 50%, means 50 per 100, 50% = 50/100 = 1/2 (half) = 0.5.
- 1 percent of 70 is: 1% of 70 = 1/100 × 70 = 7/10 = 0.7
- 50 percent of 70 is: 50% of 70 = 50/100 × 70 = 1/2 × 70 = 35.
Input fractions
This calculator multiplies a fraction by integer or whole number. To multiple fraction by a whole number, we multiple the numerator by the whole number. Then simplify the result to the lowest terms or a mixed number.
The result:
3/8 * 100 = 75/2 = 37 1/2 = 37.5
Spelled result in words is seventy-five halfs (or thirty-seven and one half).
How do we solve fractions step by step?
- Multiple:
3/8 * 100 = 3 · 100/8 · 1 = 300/8 = 75 · 4/2 · 4 = 75/2
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(300, 8) = 4. In the following intermediate step, cancel by a common factor of 4 gives 75/2.
In other words - three eighths multiplied by one hundred is seventy-five halfs.
Rules for expressions with fractions:
Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.
Mixed numerals (mixed numbers or fractions) keep one space between the integer and
fraction and use a forward slash to input fractions i.e.,
1 2/3 . An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 :
1/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.
Math Symbols
+ | plus sign | addition | 1/2 + 1/3 |
- | minus sign | subtraction | 1 1/2 - 2/3 |
* | asterisk | multiplication | 2/3 * 3/4 |
× | times sign | multiplication | 2/3 × 5/6 |
: | division sign | division | 1/2 : 3 |
/ | division slash | division | 1/3 / 5 |
: | colon | complex fraction | 1/2 : 1/3 |
^ | caret | exponentiation / power | 1/4^3 |
() | parentheses | calculate expression inside first | -3/5 - (-1/4) |
The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols -
brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Be careful; always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.
Fractions in word problems:
- Someone Someone ate 1/10 of a cake, leaving only 9/10. If you eat 2/3 of the cake left, how much of a whole cake will you have eaten?
- Learnes There are 800 learners in a school 7/8 of the learners walk to school. How many learners walk in school?
- A pie 6 There was 5/8 of a pie left in the fridge. Daniel ate 1/4 of the leftover pie. How much of the pie did he have?
- One third 2 One-third of all students in class live in a house. If there are 42 students in a class, how many of them live in a house?
- Fraction expression
Which expression is equivalent to : Minus 9 minus left parenthesis minus 4 start fraction 1 divided by 3 end fraction right parenthesis
- There 12 There are 42 students in the class, and 2/3 of them are girls. How many girls are there in the class?
- Farmers 2 On Wednesday, the farmers at the Grant Farm picked 2 barrels of tomatoes. Thursday, the farmers picked 1/2 as many tomatoes as on Wednesday. How many barrels of tomatoes did the farmers pick on Thursday?
- Watching TV One evening 2/3 of students watch TV. Of those students, 3/8 watched a reality show. Of the students that watched the show, 1/4 of them recorded it. What fraction of the students watched and recorded reality TV?
- Trent
Trent operates a hot dog stand. On Wednesday, he used two bags of hot dog buns. On Thursday, he used 1/5 as many hot dog buns as Wednesday. How many bags of hot dog buns used Trent on Thursday?
- 100/4700 66704 What is 1/8 of 100/4700?
- Write 3 Write a real-world problem involving the multiplication of a fraction and a whole number with a product between 8 and 10, then solve the problem.
more math problems »