25 is 40 of what number

32 is 40 percent of what number?A. 12.8B. 128C. 80D. 800

Answer

Hint: Assume the required number to be an unknown quantity x. Now, formulate an equation on the basis of the given condition. Then solve for the unknown quantity from the obtained equation.

Complete step-by-step answer:
Let us assume the number whose 40 percent is 32 to be x.
Then on the basis of the given condition, we obtain the equation as,
$\dfrac{40}{100}\cdot x\text{ = 32 }....\text{(i)}$
Hence, we solve the equation (i) and get the required solution.
$\begin{align}
  & \dfrac{40}{100}\cdot x\text{ = 32} \\
 & \Rightarrow \text{ }x\text{ = 32 x }\dfrac{100}{40} \\
 & \therefore \text{ }x\text{ = }\dfrac{32\text{ x 10}}{4}\text{ = 8 x 10} \\
 & \text{ = 80} \\
\end{align}$
Hence, we obtain the value of the unknown quantity to be 80.
Thus, 32 is 40 percent of the number 80. So, the correct answer is option C.

Note: One has to keep in mind the question is asking 32 is 40 percent of which number. A common mistake is to think that we are being asked to find the 40 percent of 32. In that case, the answer will be,
$\dfrac{40}{100}\text{ x 32 = 4 x 3}\text{.2 = 12}\text{.8 }$
Now, 12.8 is also an option in the given question. So, there is a chance that one thinks to get the right answer even if it is actually wrong. Thus, the correct answer is option C, not option A.

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CT : हिन्दी (पर्यायवाची शब्द)

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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 40% of 25 = ?

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 25 = ?

... is equivalent to multiplying them:

40% × 25 = ?

The calculation of the percentage:

40% of 25 =

40% × 25 =

40/100 × 25 =

(40 ÷ 100) × 25 =

40 × 25 ÷ 100 =

1,000 ÷ 100 =

10

The proof of the calculations

How do we check the result?

If 40% × 25 = 10 =>

Divide 10 by 25...

... 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.

n/100 = n%, for any number.

The calculation of the percentage value:

We will prove below that the calculations are correct.

10 ÷ 25 =

0.4 =

0.4 × 100/100 =

(0.4 × 100)/100 =

40/100 =

40%

The answer:

Percentage of 40% of 25 = 10

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

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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.

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