Question: 89 is 50.857 percent of what number?

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Question: Your friend has a bag of marbles, and he tells you that 50.857 percent of the marbles are red. If there are 89 red marbles. How many marbles does he have altogether?

Answer: 175 marbles.

How To: In this problem, we know that the Percent is 50.857, and we are also told that the Part of the marbles is red, so we know that the Part is 89.

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 89.

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

89 × 100 = 8900

In step two, we take that 8900 and divide it by the "Percent", which we are told is 50.857.

So, 8900 divided by 50.857 = 175

And that means that the total number of marbles is 175.

Question: A high school marching band has 89 flute players, If 50.857 percent of the band members play the flute, then how many members are in the band?

Answer: There are 175 members in the band.

How To: The smaller "Part" in this problem is 89 since there are 89 flute players and we are told that they make up 50.857 percent of the band, so the "Percent" is 50.857.

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.

89 × 100 = 8900

For step two, we divide that 8900 by the "Percent", which is 50.857.

8900 divided by 50.857 equals 175

That means that the total number of band members is 175.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 50.857% / 89

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 50.857 / 89

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 50.857 / 89 ) Y

Step 5: Simplifying the right side, we get: 100 = 50.857 Y

Step 6: Dividing both sides of the equation by 50.857, we will arrive at 175 = Y

This leaves us with our final answer: 89 is 50.857 percent of 175

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