Question: Your friend has a bag of marbles, and he tells you that 30 percent of the marbles are red. If there are 225 red marbles. How many marbles does he have altogether?
Answer: 750 marbles.
How To: In this problem, we know that the Percent is 30, and we are also told that the Part of the marbles is red, so we know that the Part is 225.
So, that means that it must be the Total that's missing. Here is the way to figure out what the Total is:
Part/Total = Percent/100
By using a simple algebra we can re-arrange our Percent equation like this:
Part × 100/Percent = Total
If we take the "Part" and multiply it by 100, and then we divide that by the "Percent", we will get the "Total".
Let's try it out on our problem about the marbles, that's very simple and it's just two steps! We know that the "Part" (red marbles) is 225.
So step one is to just multiply that Part by 100.
225 × 100 = 22500
In step two, we take that 22500 and divide it by the "Percent", which we are told is 30.
So, 22500 divided by 30 = 750
And that means that the total number of marbles is 750.
Question: A high school marching band has 225 flute players, If 30 percent of the band members play the flute, then how many members are in the band?
Answer: There are 750 members in the band.
How To: The smaller "Part" in this problem is 225 since there are 225 flute players and we are told that they make up 30 percent of the band, so the "Percent" is 30.
Again, it's the "Total" that's missing here, and to find it, we just need to follow our 2 step procedure as the previous problem.
For step one, we multiply the "Part" by 100.
225 × 100 = 22500
For step two, we divide that 22500 by the "Percent", which is 30.
22500 divided by 30 equals 750
That means that the total number of band members is 750.
Another step by step method
Step 1: Let's assume the unknown value is Y
Step 2: First writing it as: 100% / Y = 30% / 225
Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 30 / 225
Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 30 / 225 ) Y
Step 5: Simplifying the right side, we get: 100 = 30 Y
Step 6: Dividing both sides of the equation by 30, we will arrive at 750 = Y
This leaves us with our final answer: 225 is 30 percent of 750
What is 30 percent of 225?
67.5
30 percent of 225 is the same as 30 per hundred of 225. We can therefore make the following equation: 30/100 = X/225 To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 225, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate: 30/100 = X/225 X/225 = 30/100 X*225/225 = 30*225/100 X = 6750/100 X = 67.5 The work above shows the long way to explain how to calculate 30 percent of 225 in order to give you a foundation and better understanding of how to calculate percentage. In the future, you could use this simplified formula: (Y * P)/100 In our problem "What is 30 percent of 225?", Y is 225 and P is 30: (225 * 30)/100 = 67.5 And once again you see that the answer is 67.5.Percent of Calculator Enter another percent and number for us to calculate:
What is 30 percent of 226?
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30% of what number = 225?
'Percent (%)' means 'out of one hundred':
30% = 30 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100
30% = 30/100 = 30 ÷ 100 = 0.3
100% = 100/100 = 100 ÷ 100 = 1
30% of what number = 225
... is equivalent to multiplying them:
30% × number = 225
Let y be the number that we have to calculate.
30% × y = 225 =>
y =
225 ÷ 30% =
225 ÷ (30 ÷ 100) =
(100 × 225) ÷ 30 =
22,500 ÷ 30 =
750
We carry out the reverse operation:
If 30% × 750 = 225 =>
Divide 225 by 750...
... And see if we get as a result: 30%
Multiply a number by the fraction 100/100,
... and its value doesn't change.
100/100 = 100 ÷ 100 = 1
n/100 = n%, any number.
225 ÷ 750 =
0.3 =
0.3 × 100/100 =
(0.3 × 100)/100 =
30/100 =
30%
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.
Examples of problems that can be solved using the info that can be found on this section of the website:
- 25% of the annual profit of a company was invested in buying some new equipment. The total amount invested in buying the new equipment was 100,000 dollars. What was the annual profit of the company? Rewrite: 25% of the Profit means 100,000 dollars => 25% × Profit = 100,000 dollars => Profit = 100,000 ÷ 25% dollars = 100,000 ÷ 25/100 dollars = 100,000 × 100/25 dollars = 100,000 × 4 dollars = 400,000 dollars;
- 20% of the students in the terminal year have enrolled into the swimming class. In total, 7 students have enrolled. How many students are in the terminal year? Rewrite: 20% of the students means 7 students => 20% × Total number of students = 7 => The total number of students = 7 ÷ 20% = 7 ÷ 20/100 = 7 × 100/20 = 7 × 5 = 35;
- In the last elections 49% of community memebrs voted for the A Party, 32% for the B Party, and the rest for the C Party. 17,920 people voted for the B Party. How many members are in the community, all in all? Rewrite: 32% of the total community members means 17,920 people => 32% × The total number of community members = 17,920 => The total number of community members = 17,920 ÷ 32% people = 17,920 ÷ 32/100 people = 17,920 × 100/32 people = 17,920/32 × 100 = 560 × 100 people = 56,000 people.
225 is 30 percent of what number?
If you take 30 percent of a number and get 225, then what is that number? In other words, you know that 30 percent of a number is 225 and you want to know what that initial number is. To solve this problem you multiply 225 by 100 and then divide the total by 30 as follows: (225 x 100) / 30 When we put that into our calculator, we get the following answer:
750
Therefore, the answer to "225 is 30 percent of what number?" is 750, and you can also derive that 30 percent of 750 equals 225.What Number Calculator Enter another problem below for us to solve:
225 is 30 percent of what number?
"225 is 30 percent of what number?" is a word problem where the answer is a number. Specifically, if you calculate 30 percent of number (x), you will get 225. Thus, you can illustrate the problem "225 is 30 percent of what number (x)" like this: 30% of x = 225 To calculate 30 percent of a number, we multiply the number by 30 and then divide by 100. Therefore, we can make the following function: To solve for x, we first multiply both sides by 100 and then divide both sides by 30 to get the x = 750. Therefore, the answer to 225 is 30 percent of what number? is:
750
If we substitue "what number" in the question "225 is 30 percent of what number?" with 750, we get this sentence: 225 is 30 percent of 750. Since this statement is true, we know that our answer is correct.Percent Of What Number
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Here is a similar problem that we have answered for you. Copyright | Privacy Policy | Disclaimer | Contact225 is 30% of 750
Steps to solve "225 is 30 percent of what number?"
- We have, 30% × x = 225
- or, 30/100 × x = 225
- Multiplying both sides by 100 and dividing both sides by 30,
we have x = 225 × 100/30 - x = 750
If you are using a calculator, simply enter 225×100÷30, which will give you the answer.
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