Question: 244 is 80 percent of what number?

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Question: Your friend has a bag of marbles, and he tells you that 80 percent of the marbles are red. If there are 244 red marbles. How many marbles does he have altogether?

Answer: 305 marbles.

How To: In this problem, we know that the Percent is 80, and we are also told that the Part of the marbles is red, so we know that the Part is 244.

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 244.

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

244 × 100 = 24400

In step two, we take that 24400 and divide it by the "Percent", which we are told is 80.

So, 24400 divided by 80 = 305

And that means that the total number of marbles is 305.

Question: A high school marching band has 244 flute players, If 80 percent of the band members play the flute, then how many members are in the band?

Answer: There are 305 members in the band.

How To: The smaller "Part" in this problem is 244 since there are 244 flute players and we are told that they make up 80 percent of the band, so the "Percent" is 80.

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.

244 × 100 = 24400

For step two, we divide that 24400 by the "Percent", which is 80.

24400 divided by 80 equals 305

That means that the total number of band members is 305.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 80% / 244

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 80 / 244

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 80 / 244 ) Y

Step 5: Simplifying the right side, we get: 100 = 80 Y

Step 6: Dividing both sides of the equation by 80, we will arrive at 305 = Y

This leaves us with our final answer: 244 is 80 percent of 305

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