# Question: 1000 is 15 percent of what number?

## Step by step solution for calculating 1000 is 15 percent of what number

We already have our first value 1000 and the second value 15. 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 1 1000 = 15% × Y

STEP 2 1000 = 15/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 15 we will arrive at:

STEP 3 Y = 1000 × 100/15

STEP 4 Y = 1000 × 100 ÷ 15

STEP 5 Y = 6666.667

Finally, we have found the value of Y which is 6666.667 and that is our answer. You can easily calculate 1000 is 15 percent of what number by using any regular calculator, simply enter 1000 × 100 ÷ 15 and you will get your answer which is 6666.667 Here is a Percentage Calculator to solve similar calculations such as 1000 is 15 percent of what number. You can solve this type of calculation with your values by entering them into the calculator's fields, and click 'Calculate' to get the result and explanation.

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## Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 15 percent of the marbles are red. If there are 1000 red marbles. How many marbles does he have altogether?

How To: In this problem, we know that the Percent is 15, and we are also told that the Part of the marbles is red, so we know that the Part is 1000.

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 1000.

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

1000 × 100 = 100000

In step two, we take that 100000 and divide it by the "Percent", which we are told is 15.

So, 100000 divided by 15 = 6666.667

And that means that the total number of marbles is 6666.667.

Question: A high school marching band has 1000 flute players, If 15 percent of the band members play the flute, then how many members are in the band?

Answer: There are 6666.667 members in the band.

How To: The smaller "Part" in this problem is 1000 since there are 1000 flute players and we are told that they make up 15 percent of the band, so the "Percent" is 15.

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.

1000 × 100 = 100000

For step two, we divide that 100000 by the "Percent", which is 15.

100000 divided by 15 equals 6666.667

That means that the total number of band members is 6666.667.

## Another step by step method

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

Step 2: First writing it as: 100% / Y = 15% / 1000

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 15 / 1000

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 15 / 1000 ) Y

Step 5: Simplifying the right side, we get: 100 = 15 Y

Step 6: Dividing both sides of the equation by 15, we will arrive at 6666.667 = Y

This leaves us with our final answer: 1000 is 15 percent of 6666.667