Solved: 660 is 33 Percent of What Number? = 2000

Step by step solution for calculating 660 is 33 percent of what number

We already have our first value 660 and the second value 33. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1660 = 33% × Y

STEP 2660 = 33/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 33 we will arrive at:

STEP 3Y = 660 × 100/33

STEP 4Y = 660 × 100 ÷ 33

STEP 5Y = 2000

Finally, we have found the value of Y which is 2000 and that is our answer.

You can easily calculate 660 is 33 percent of what number by using any regular calculator, simply enter 660 × 100 ÷ 33 and you will get your answer which is 2000

Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 33 percent of the marbles are red. If there are 660 red marbles. How many marbles does he have altogether?

Answer: 2000 marbles.

How To: In this problem, we know that the Percent is 33, and we are also told that the Part of the marbles is red, so we know that the Part is 660.

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 660.

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

660 × 100 = 66000

In step two, we take that 66000 and divide it by the "Percent", which we are told is 33.

So, 66000 divided by 33 = 2000

And that means that the total number of marbles is 2000.

Question: A high school marching band has 660 flute players, If 33 percent of the band members play the flute, then how many members are in the band?

Answer: There are 2000 members in the band.

How To: The smaller "Part" in this problem is 660 since there are 660 flute players and we are told that they make up 33 percent of the band, so the "Percent" is 33.

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.

660 × 100 = 66000

For step two, we divide that 66000 by the "Percent", which is 33.

66000 divided by 33 equals 2000

That means that the total number of band members is 2000.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 33% / 660

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 33 / 660

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 33 / 660 ) Y

Step 5: Simplifying the right side, we get: 100 = 33 Y

Step 6: Dividing both sides of the equation by 33, we will arrive at 2000 = Y

This leaves us with our final answer: 660 is 33 percent of 2000

Question: 660 is 33 percent of what number?

Answer: 2000

Step by step solution for calculating 660 is 33 percent of what number

Sample questions, answers, and how to

Another step by step method

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