Question: 103 is 103 percent of what number?

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Question: Your friend has a bag of marbles, and he tells you that 103 percent of the marbles are red. If there are 103 red marbles. How many marbles does he have altogether?

Answer: 100 marbles.

How To: In this problem, we know that the Percent is 103, and we are also told that the Part of the marbles is red, so we know that the Part is 103.

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 103.

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

103 × 100 = 10300

In step two, we take that 10300 and divide it by the "Percent", which we are told is 103.

So, 10300 divided by 103 = 100

And that means that the total number of marbles is 100.

Question: A high school marching band has 103 flute players, If 103 percent of the band members play the flute, then how many members are in the band?

Answer: There are 100 members in the band.

How To: The smaller "Part" in this problem is 103 since there are 103 flute players and we are told that they make up 103 percent of the band, so the "Percent" is 103.

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.

103 × 100 = 10300

For step two, we divide that 10300 by the "Percent", which is 103.

10300 divided by 103 equals 100

That means that the total number of band members is 100.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 103% / 103

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 103 / 103

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 103 / 103 ) Y

Step 5: Simplifying the right side, we get: 100 = 103 Y

Step 6: Dividing both sides of the equation by 103, we will arrive at 100 = Y

This leaves us with our final answer: 103 is 103 percent of 100

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