40% of 2,000 = ? What is 40 percent of the number 2,000? The calculated percentage

Percentage of 40% of 2,000 = ?

Detailed calculations and final verification of the result

A brief introduction:

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

40% = 40 'out of one hundred',

p% is read p 'percent',

40% = ^{40}/_{100} = 40 ÷ 100

What does it mean to calculate the percentage of a number?

40% of 2,000 = ?

... is equivalent to multiplying them:

40% × 2,000 = ?

The calculation of the percentage:

40% of 2,000 =

40% × 2,000 =

^{40}/_{100} × 2,000 =

(40 ÷ 100) × 2,000 =

40 × 2,000 ÷ 100 =

80,000 ÷ 100 =

800

The proof of the calculations

How do we check the result?

If 40% × 2,000 = 800 =>

Divide the number 800 by the number 2,000...

... And see if we get as a result: 40%

A quick note:

^{100}/_{100} = 100 ÷ 100 = 100% = 1

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

By multiplying a number by the fraction ^{100}/_{100}, we change only the form of the result, not the result.

^{n}/_{100} = n%, for any number.

The calculation of the percentage value:

We will prove below that the calculations are correct.

800 ÷ 2,000 =

0.4 =

0.4 × ^{100}/_{100} =

^{(0.4 × 100)}/_{100} =

^{40}/_{100} =

40%

So, we have proven that the calculations were correct. The answer (scroll down)...

Percentage of 40% of 2,000 40% of 2,000 = 800

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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1. Percent. 2. Percentages. 3. Percentages converted to decimal numbers

1. 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.

2. 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).

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.