Question: 297.5 is 85 percent of what number?

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Question: Your friend has a bag of marbles, and he tells you that 85 percent of the marbles are red. If there are 297.5 red marbles. How many marbles does he have altogether?

Answer: 350 marbles.

How To: In this problem, we know that the Percent is 85, and we are also told that the Part of the marbles is red, so we know that the Part is 297.5.

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 297.5.

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

297.5 × 100 = 29750

In step two, we take that 29750 and divide it by the "Percent", which we are told is 85.

So, 29750 divided by 85 = 350

And that means that the total number of marbles is 350.

Question: A high school marching band has 297.5 flute players, If 85 percent of the band members play the flute, then how many members are in the band?

Answer: There are 350 members in the band.

How To: The smaller "Part" in this problem is 297.5 since there are 297.5 flute players and we are told that they make up 85 percent of the band, so the "Percent" is 85.

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.

297.5 × 100 = 29750

For step two, we divide that 29750 by the "Percent", which is 85.

29750 divided by 85 equals 350

That means that the total number of band members is 350.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 85% / 297.5

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 85 / 297.5

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 85 / 297.5 ) Y

Step 5: Simplifying the right side, we get: 100 = 85 Y

Step 6: Dividing both sides of the equation by 85, we will arrive at 350 = Y

This leaves us with our final answer: 297.5 is 85 percent of 350

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