Question: 18 is 31.034 percent of what number?

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Question: Your friend has a bag of marbles, and he tells you that 31.034 percent of the marbles are red. If there are 18 red marbles. How many marbles does he have altogether?

Answer: 58.001 marbles.

How To: In this problem, we know that the Percent is 31.034, and we are also told that the Part of the marbles is red, so we know that the Part is 18.

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 18.

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

18 × 100 = 1800

In step two, we take that 1800 and divide it by the "Percent", which we are told is 31.034.

So, 1800 divided by 31.034 = 58.001

And that means that the total number of marbles is 58.001.

Question: A high school marching band has 18 flute players, If 31.034 percent of the band members play the flute, then how many members are in the band?

Answer: There are 58.001 members in the band.

How To: The smaller "Part" in this problem is 18 since there are 18 flute players and we are told that they make up 31.034 percent of the band, so the "Percent" is 31.034.

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.

18 × 100 = 1800

For step two, we divide that 1800 by the "Percent", which is 31.034.

1800 divided by 31.034 equals 58.001

That means that the total number of band members is 58.001.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 31.034% / 18

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 31.034 / 18

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 31.034 / 18 ) Y

Step 5: Simplifying the right side, we get: 100 = 31.034 Y

Step 6: Dividing both sides of the equation by 31.034, we will arrive at 58.001 = Y

This leaves us with our final answer: 18 is 31.034 percent of 58.001

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