Question: 11 is 20 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 20 percent of the marbles are red. If there are 11 red marbles. How many marbles does he have altogether?

Answer: 55 marbles.

How To: In this problem, we know that the Percent is 20, and we are also told that the Part of the marbles is red, so we know that the Part is 11.

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 11.

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

11 × 100 = 1100

In step two, we take that 1100 and divide it by the "Percent", which we are told is 20.

So, 1100 divided by 20 = 55

And that means that the total number of marbles is 55.

Question: A high school marching band has 11 flute players, If 20 percent of the band members play the flute, then how many members are in the band?

Answer: There are 55 members in the band.

How To: The smaller "Part" in this problem is 11 since there are 11 flute players and we are told that they make up 20 percent of the band, so the "Percent" is 20.

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.

11 × 100 = 1100

For step two, we divide that 1100 by the "Percent", which is 20.

1100 divided by 20 equals 55

That means that the total number of band members is 55.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 20% / 11

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 20 / 11

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 20 / 11 ) Y

Step 5: Simplifying the right side, we get: 100 = 20 Y

Step 6: Dividing both sides of the equation by 20, we will arrive at 55 = Y

This leaves us with our final answer: 11 is 20 percent of 55

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