24 is 75 of what number

Solution and how to solve it

Calculating the percent of a number is simple, but can be a bit tricky if you aren't careful. Luckily, it only requires a few basic operations to get to the solution: multiplication and division. If you haven't learned what percentage is yet, or would like a little refresher, feel free to check out our introduction to percentage page. To solve percentage problems, it may be useful to use a calculator. But, they can also be solved by hand or in your head (if you practice enough). So, how did we get to the solution that 75 percent of 24 = 18?

• Step 1: As we know, a whole of something is equal to 100%. In this case, we want to find what 75% of 24 is. We know that 100% of 24 is, well, just 24.
• Step 2: If 100% of 24 is 24, then we can get 1% of 24 by dividing it by 100. Let's do 24 / 100. This is equal to 0.24. Now we know that 1% is 0.24.
• Step 3: Now that we know what 1% of 24 is, we just need to multiply it by 75 to get our solution! 0.24 times 75 = 18. That's all there is to it!

When is this useful?

Percentage is one of the most commonly used math concepts in day-to-day life. You can use it to calculate a gratuity on a restaurant bill, or to grade your score on an exam. It is useful to know your percentages well!

Solution for What is 75 percent of 24:

75 percent *24 =

( 75:100)*24 =

( 75*24):100 =

1800:100 = 18

Now we have: 75 percent of 24 = 18

Question: What is 75 percent of 24?

Percentage solution with steps:

Step 1: Our output value is 24.

Step 2: We represent the unknown value with {x}.

Step 3: From step 1 above,{24}={100\%}.

Step 4: Similarly, {x}={ 75\%}.

Step 5: This results in a pair of simple equations:

{24}={100\%}(1).

{x}={ 75\%}(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have

\frac{24}{x}=\frac{100\%}{ 75\%}

Step 7: Again, the reciprocal of both sides gives

\frac{x}{24}=\frac{ 75}{100}

\Rightarrow{x} = {18}

Therefore, { 75\%} of {24} is {18}

Menu

• p% of A = ?
• p% of ? = A
• ?% of A = B
• fractions a/b = ?%
• relative change
• p% = ? number
• (1 + p%) × n
• (1 - p%) × n

Percentage of 24% of 75 = ?

Detailed calculations and final verification of the result

A brief introduction:

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

24% = 24 'out of one hundred',

p% is read p 'percent',

24% = 24/100 = 24 ÷ 100

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

24% of 75 = ?

... is equivalent to multiplying them:

24% × 75 = ?

The calculation of the percentage:

24% of 75 =

24% × 75 =

24/100 × 75 =

(24 ÷ 100) × 75 =

24 × 75 ÷ 100 =

1,800 ÷ 100 =

18

The proof of the calculations

How do we check the result?

If 24% × 75 = 18 =>

Divide the number 18 by the number 75...

... And see if we get as a result: 24%

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.

18 ÷ 75 =

0.24 =

0.24 × 100/100 =

(0.24 × 100)/100 =

24/100 =

24%

The answer:

Percentage of 24% of 75 24% of 75 = 18

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

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.

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