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.