Question: 142.5 is 75 percent of what number?

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Question: Your friend has a bag of marbles, and he tells you that 75 percent of the marbles are red. If there are 142.5 red marbles. How many marbles does he have altogether?

Answer: 190 marbles.

How To: In this problem, we know that the Percent is 75, and we are also told that the Part of the marbles is red, so we know that the Part is 142.5.

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 142.5.

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

142.5 × 100 = 14250

In step two, we take that 14250 and divide it by the "Percent", which we are told is 75.

So, 14250 divided by 75 = 190

And that means that the total number of marbles is 190.

Question: A high school marching band has 142.5 flute players, If 75 percent of the band members play the flute, then how many members are in the band?

Answer: There are 190 members in the band.

How To: The smaller "Part" in this problem is 142.5 since there are 142.5 flute players and we are told that they make up 75 percent of the band, so the "Percent" is 75.

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.

142.5 × 100 = 14250

For step two, we divide that 14250 by the "Percent", which is 75.

14250 divided by 75 equals 190

That means that the total number of band members is 190.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 75% / 142.5

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 75 / 142.5

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 75 / 142.5 ) Y

Step 5: Simplifying the right side, we get: 100 = 75 Y

Step 6: Dividing both sides of the equation by 75, we will arrive at 190 = Y

This leaves us with our final answer: 142.5 is 75 percent of 190

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