Question: 140 is 46.667 percent of what number?

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Question: Your friend has a bag of marbles, and he tells you that 46.667 percent of the marbles are red. If there are 140 red marbles. How many marbles does he have altogether?

Answer: 299.998 marbles.

How To: In this problem, we know that the Percent is 46.667, and we are also told that the Part of the marbles is red, so we know that the Part is 140.

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 140.

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

140 × 100 = 14000

In step two, we take that 14000 and divide it by the "Percent", which we are told is 46.667.

So, 14000 divided by 46.667 = 299.998

And that means that the total number of marbles is 299.998.

Question: A high school marching band has 140 flute players, If 46.667 percent of the band members play the flute, then how many members are in the band?

Answer: There are 299.998 members in the band.

How To: The smaller "Part" in this problem is 140 since there are 140 flute players and we are told that they make up 46.667 percent of the band, so the "Percent" is 46.667.

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.

140 × 100 = 14000

For step two, we divide that 14000 by the "Percent", which is 46.667.

14000 divided by 46.667 equals 299.998

That means that the total number of band members is 299.998.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 46.667% / 140

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 46.667 / 140

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 46.667 / 140 ) Y

Step 5: Simplifying the right side, we get: 100 = 46.667 Y

Step 6: Dividing both sides of the equation by 46.667, we will arrive at 299.998 = Y

This leaves us with our final answer: 140 is 46.667 percent of 299.998

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