Question: 480 is 80 percent of what number?

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Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 80 percent of the marbles are red. If there are 480 red marbles. How many marbles does he have altogether?

Answer: 600 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 480.

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 480.

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

480 × 100 = 48000

In step two, we take that 48000 and divide it by the "Percent", which we are told is 80.

So, 48000 divided by 80 = 600

And that means that the total number of marbles is 600.

Question: A high school marching band has 480 flute players, If 80 percent of the band members play the flute, then how many members are in the band?

Answer: There are 600 members in the band.

How To: The smaller "Part" in this problem is 480 since there are 480 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.

480 × 100 = 48000

For step two, we divide that 48000 by the "Percent", which is 80.

48000 divided by 80 equals 600

That means that the total number of band members is 600.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 80% / 480

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 80 / 480

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 80 / 480 ) 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 600 = Y

This leaves us with our final answer: 480 is 80 percent of 600

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