Question: 17.5 is 7 percent of what number?

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Question: Your friend has a bag of marbles, and he tells you that 7 percent of the marbles are red. If there are 17.5 red marbles. How many marbles does he have altogether?

Answer: 250 marbles.

How To: In this problem, we know that the Percent is 7, and we are also told that the Part of the marbles is red, so we know that the Part is 17.5.

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 17.5.

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

17.5 × 100 = 1750

In step two, we take that 1750 and divide it by the "Percent", which we are told is 7.

So, 1750 divided by 7 = 250

And that means that the total number of marbles is 250.

Question: A high school marching band has 17.5 flute players, If 7 percent of the band members play the flute, then how many members are in the band?

Answer: There are 250 members in the band.

How To: The smaller "Part" in this problem is 17.5 since there are 17.5 flute players and we are told that they make up 7 percent of the band, so the "Percent" is 7.

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.

17.5 × 100 = 1750

For step two, we divide that 1750 by the "Percent", which is 7.

1750 divided by 7 equals 250

That means that the total number of band members is 250.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 7% / 17.5

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 7 / 17.5

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 7 / 17.5 ) Y

Step 5: Simplifying the right side, we get: 100 = 7 Y

Step 6: Dividing both sides of the equation by 7, we will arrive at 250 = Y

This leaves us with our final answer: 17.5 is 7 percent of 250

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