Question: 216 is 32 percent of what number?

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Question: Your friend has a bag of marbles, and he tells you that 32 percent of the marbles are red. If there are 216 red marbles. How many marbles does he have altogether?

Answer: 675 marbles.

How To: In this problem, we know that the Percent is 32, and we are also told that the Part of the marbles is red, so we know that the Part is 216.

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 216.

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

216 × 100 = 21600

In step two, we take that 21600 and divide it by the "Percent", which we are told is 32.

So, 21600 divided by 32 = 675

And that means that the total number of marbles is 675.

Question: A high school marching band has 216 flute players, If 32 percent of the band members play the flute, then how many members are in the band?

Answer: There are 675 members in the band.

How To: The smaller "Part" in this problem is 216 since there are 216 flute players and we are told that they make up 32 percent of the band, so the "Percent" is 32.

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.

216 × 100 = 21600

For step two, we divide that 21600 by the "Percent", which is 32.

21600 divided by 32 equals 675

That means that the total number of band members is 675.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 32% / 216

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 32 / 216

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 32 / 216 ) Y

Step 5: Simplifying the right side, we get: 100 = 32 Y

Step 6: Dividing both sides of the equation by 32, we will arrive at 675 = Y

This leaves us with our final answer: 216 is 32 percent of 675

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