Question: 51.84 is 12 percent of what number?

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Question: Your friend has a bag of marbles, and he tells you that 12 percent of the marbles are red. If there are 51.84 red marbles. How many marbles does he have altogether?

Answer: 432 marbles.

How To: In this problem, we know that the Percent is 12, and we are also told that the Part of the marbles is red, so we know that the Part is 51.84.

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 51.84.

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

51.84 × 100 = 5184

In step two, we take that 5184 and divide it by the "Percent", which we are told is 12.

So, 5184 divided by 12 = 432

And that means that the total number of marbles is 432.

Question: A high school marching band has 51.84 flute players, If 12 percent of the band members play the flute, then how many members are in the band?

Answer: There are 432 members in the band.

How To: The smaller "Part" in this problem is 51.84 since there are 51.84 flute players and we are told that they make up 12 percent of the band, so the "Percent" is 12.

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.

51.84 × 100 = 5184

For step two, we divide that 5184 by the "Percent", which is 12.

5184 divided by 12 equals 432

That means that the total number of band members is 432.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 12% / 51.84

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 12 / 51.84

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 12 / 51.84 ) Y

Step 5: Simplifying the right side, we get: 100 = 12 Y

Step 6: Dividing both sides of the equation by 12, we will arrive at 432 = Y

This leaves us with our final answer: 51.84 is 12 percent of 432

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