Question: 75 is 78.125 percent of what number?

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Question: Your friend has a bag of marbles, and he tells you that 78.125 percent of the marbles are red. If there are 75 red marbles. How many marbles does he have altogether?

Answer: 96 marbles.

How To: In this problem, we know that the Percent is 78.125, and we are also told that the Part of the marbles is red, so we know that the Part is 75.

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 75.

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

75 × 100 = 7500

In step two, we take that 7500 and divide it by the "Percent", which we are told is 78.125.

So, 7500 divided by 78.125 = 96

And that means that the total number of marbles is 96.

Question: A high school marching band has 75 flute players, If 78.125 percent of the band members play the flute, then how many members are in the band?

Answer: There are 96 members in the band.

How To: The smaller "Part" in this problem is 75 since there are 75 flute players and we are told that they make up 78.125 percent of the band, so the "Percent" is 78.125.

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.

75 × 100 = 7500

For step two, we divide that 7500 by the "Percent", which is 78.125.

7500 divided by 78.125 equals 96

That means that the total number of band members is 96.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 78.125% / 75

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 78.125 / 75

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 78.125 / 75 ) Y

Step 5: Simplifying the right side, we get: 100 = 78.125 Y

Step 6: Dividing both sides of the equation by 78.125, we will arrive at 96 = Y

This leaves us with our final answer: 75 is 78.125 percent of 96

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