27.5 Is 2 of What Number
Step by step solution for calculating 27.5 is 11 percent of what number
We already have our first value 27.5 and the second value 11. Let's assume the unknown value is Y which answer we will find out.
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
STEP 1
27.5 = 11% × Y
STEP 2 27.5 = 11 / 100 × Y
Multiplying both sides by 100 and dividing both sides of the equation by 11 we will arrive at:
STEP 3 Y = 27.5 × 100 / 11
STEP 4 Y = 27.5 × 100 ÷ 11
STEP 5 Y = 250
Finally, we have found the value of Y which is 250 and that is our answer.
You can easily calculate 27.5 is 11 percent of what number by using any regular calculator, simply enter 27.5 × 100 ÷ 11 and you will get your answer which is 250
Here is a Percentage Calculator to solve similar calculations such as 27.5 is 11 percent of what number. You can solve this type of calculation with your values by entering them into the calculator's fields, and click 'Calculate' to get the result and explanation.
Sample questions, answers, and how to
Question: Your friend has a bag of marbles, and he tells you that 11 percent of the marbles are red. If there are 27.5 red marbles. How many marbles does he have altogether?
Answer: 250 marbles.
How To: In this problem, we know that the Percent is 11, and we are also told that the Part of the marbles is red, so we know that the Part is 27.5.
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 27.5.
So step one is to just multiply that Part by 100.
27.5 × 100 = 2750
In step two, we take that 2750 and divide it by the "Percent", which we are told is 11.
So, 2750 divided by 11 = 250
And that means that the total number of marbles is 250.
Question: A high school marching band has 27.5 flute players, If 11 percent of the band members play the flute, then how many members are in the band?
Answer: There are 250 members in the band.
How To: The smaller "Part" in this problem is 27.5 since there are 27.5 flute players and we are told that they make up 11 percent of the band, so the "Percent" is 11.
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.
27.5 × 100 = 2750
For step two, we divide that 2750 by the "Percent", which is 11.
2750 divided by 11 equals 250
That means that the total number of band members is 250.
Another step by step method
Step 1: Let's assume the unknown value is Y
Step 2: First writing it as: 100% / Y = 11% / 27.5
Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 11 / 27.5
Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 11 / 27.5 ) Y
Step 5: Simplifying the right side, we get: 100 = 11 Y
Step 6: Dividing both sides of the equation by 11, we will arrive at 250 = Y
This leaves us with our final answer: 27.5 is 11 percent of 250
Source: https://percentage-calculator.net/x-is-y-percent-of-what-number/27.5-is-11-percent-of-what-number.php