Question: 6000 is 40 percent of what number?

Answer: 15000

If you want to learn more, then please keep reading, and you won't be disappointed.

Step by step solution for calculating 6000 is 40 percent of what number

We already have our first value 6000 and the second value 40. 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 16000 = 40% × Y

STEP 26000 = 40/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 40 we will arrive at:

STEP 3Y = 6000 × 100/40

STEP 4Y = 6000 × 100 ÷ 40

STEP 5Y = 15000

Finally, we have found the value of Y which is 15000 and that is our answer.

You can easily calculate 6000 is 40 percent of what number by using any regular calculator, simply enter 6000 × 100 ÷ 40 and you will get your answer which is 15000

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Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 40 percent of the marbles are red. If there are 6000 red marbles. How many marbles does he have altogether?

Answer: 15000 marbles.

How To: In this problem, we know that the Percent is 40, and we are also told that the Part of the marbles is red, so we know that the Part is 6000.

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 6000.

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

6000 × 100 = 600000

In step two, we take that 600000 and divide it by the "Percent", which we are told is 40.

So, 600000 divided by 40 = 15000

And that means that the total number of marbles is 15000.


Question: A high school marching band has 6000 flute players, If 40 percent of the band members play the flute, then how many members are in the band?

Answer: There are 15000 members in the band.

How To: The smaller "Part" in this problem is 6000 since there are 6000 flute players and we are told that they make up 40 percent of the band, so the "Percent" is 40.

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.

6000 × 100 = 600000

For step two, we divide that 600000 by the "Percent", which is 40.

600000 divided by 40 equals 15000

That means that the total number of band members is 15000.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 40% / 6000

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 40 / 6000

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 40 / 6000 ) Y

Step 5: Simplifying the right side, we get: 100 = 40 Y

Step 6: Dividing both sides of the equation by 40, we will arrive at 15000 = Y

This leaves us with our final answer: 6000 is 40 percent of 15000