Question: 58 is 93.548 percent of what number?

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Question: Your friend has a bag of marbles, and he tells you that 93.548 percent of the marbles are red. If there are 58 red marbles. How many marbles does he have altogether?

Answer: 62 marbles.

How To: In this problem, we know that the Percent is 93.548, and we are also told that the Part of the marbles is red, so we know that the Part is 58.

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 58.

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

58 × 100 = 5800

In step two, we take that 5800 and divide it by the "Percent", which we are told is 93.548.

So, 5800 divided by 93.548 = 62

And that means that the total number of marbles is 62.

Question: A high school marching band has 58 flute players, If 93.548 percent of the band members play the flute, then how many members are in the band?

Answer: There are 62 members in the band.

How To: The smaller "Part" in this problem is 58 since there are 58 flute players and we are told that they make up 93.548 percent of the band, so the "Percent" is 93.548.

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.

58 × 100 = 5800

For step two, we divide that 5800 by the "Percent", which is 93.548.

5800 divided by 93.548 equals 62

That means that the total number of band members is 62.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 93.548% / 58

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 93.548 / 58

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 93.548 / 58 ) Y

Step 5: Simplifying the right side, we get: 100 = 93.548 Y

Step 6: Dividing both sides of the equation by 93.548, we will arrive at 62 = Y

This leaves us with our final answer: 58 is 93.548 percent of 62

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