Question: 212 is 265 percent of what number?

Answer: 80

If you want to learn more, then please keep reading, and you won't be disappointed.

Step by step solution for calculating 212 is 265 percent of what number

We already have our first value 212 and the second value 265. 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 1212 = 265% × Y

STEP 2212 = 265/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 265 we will arrive at:

STEP 3Y = 212 × 100/265

STEP 4Y = 212 × 100 ÷ 265

STEP 5Y = 80

Finally, we have found the value of Y which is 80 and that is our answer.

You can easily calculate 212 is 265 percent of what number by using any regular calculator, simply enter 212 × 100 ÷ 265 and you will get your answer which is 80

Here is a Percentage Calculator to solve similar calculations such as 212 is 265 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.

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Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 265 percent of the marbles are red. If there are 212 red marbles. How many marbles does he have altogether?

Answer: 80 marbles.

How To: In this problem, we know that the Percent is 265, and we are also told that the Part of the marbles is red, so we know that the Part is 212.

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 212.

So step one is to just multiply that Part by 100.

212 × 100 = 21200

In step two, we take that 21200 and divide it by the "Percent", which we are told is 265.

So, 21200 divided by 265 = 80

And that means that the total number of marbles is 80.


Question: A high school marching band has 212 flute players, If 265 percent of the band members play the flute, then how many members are in the band?

Answer: There are 80 members in the band.

How To: The smaller "Part" in this problem is 212 since there are 212 flute players and we are told that they make up 265 percent of the band, so the "Percent" is 265.

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.

212 × 100 = 21200

For step two, we divide that 21200 by the "Percent", which is 265.

21200 divided by 265 equals 80

That means that the total number of band members is 80.

Another step by step method

Step 1: Let's assume the unknown value is Y

Step 2: First writing it as: 100% / Y = 265% / 212

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 265 / 212

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 265 / 212 ) Y

Step 5: Simplifying the right side, we get: 100 = 265 Y

Step 6: Dividing both sides of the equation by 265, we will arrive at 80 = Y

This leaves us with our final answer: 212 is 265 percent of 80