# Question: 15 is 40 percent of what number?

## Step by step solution for calculating 15 is 40 percent of what number

We already have our first value 15 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 1 15 = 40% × Y

STEP 2 15 = 40/100× Y

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

STEP 3 Y = 15 × 100/40

STEP 4 Y = 15 × 100 ÷ 40

STEP 5 Y = 37.5

Finally, we have found the value of Y which is 37.5 and that is our answer. You can easily calculate 15 is 40 percent of what number by using any regular calculator, simply enter 15 × 100 ÷ 40 and you will get your answer which is 37.5 Here is a Percentage Calculator to solve similar calculations such as 15 is 40 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 40 percent of the marbles are red. If there are 15 red marbles. How many marbles does he have altogether?

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 15.

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 15.

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

15 × 100 = 1500

In step two, we take that 1500 and divide it by the "Percent", which we are told is 40.

So, 1500 divided by 40 = 37.5

And that means that the total number of marbles is 37.5.

Question: A high school marching band has 15 flute players, If 40 percent of the band members play the flute, then how many members are in the band?

Answer: There are 37.5 members in the band.

How To: The smaller "Part" in this problem is 15 since there are 15 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.

15 × 100 = 1500

For step two, we divide that 1500 by the "Percent", which is 40.

1500 divided by 40 equals 37.5

That means that the total number of band members is 37.5.

## Another step by step method

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

Step 2: First writing it as: 100% / Y = 40% / 15

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 40 / 15

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 40 / 15 ) 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 37.5 = Y

This leaves us with our final answer: 15 is 40 percent of 37.5

## Percentage Table

 15 is 40 percent of 37.5 15.01 is 40 percent of 37.525 15.02 is 40 percent of 37.55 15.03 is 40 percent of 37.575 15.04 is 40 percent of 37.6 15.05 is 40 percent of 37.625 15.06 is 40 percent of 37.65 15.07 is 40 percent of 37.675 15.08 is 40 percent of 37.7 15.09 is 40 percent of 37.725 15.1 is 40 percent of 37.75 15.11 is 40 percent of 37.775 15.12 is 40 percent of 37.8 15.13 is 40 percent of 37.825 15.14 is 40 percent of 37.85 15.15 is 40 percent of 37.875 15.16 is 40 percent of 37.9 15.17 is 40 percent of 37.925 15.18 is 40 percent of 37.95 15.19 is 40 percent of 37.975
 15.2 is 40 percent of 38 15.21 is 40 percent of 38.025 15.22 is 40 percent of 38.05 15.23 is 40 percent of 38.075 15.24 is 40 percent of 38.1 15.25 is 40 percent of 38.125 15.26 is 40 percent of 38.15 15.27 is 40 percent of 38.175 15.28 is 40 percent of 38.2 15.29 is 40 percent of 38.225 15.3 is 40 percent of 38.25 15.31 is 40 percent of 38.275 15.32 is 40 percent of 38.3 15.33 is 40 percent of 38.325 15.34 is 40 percent of 38.35 15.35 is 40 percent of 38.375 15.36 is 40 percent of 38.4 15.37 is 40 percent of 38.425 15.38 is 40 percent of 38.45 15.39 is 40 percent of 38.475
 15.4 is 40 percent of 38.5 15.41 is 40 percent of 38.525 15.42 is 40 percent of 38.55 15.43 is 40 percent of 38.575 15.44 is 40 percent of 38.6 15.45 is 40 percent of 38.625 15.46 is 40 percent of 38.65 15.47 is 40 percent of 38.675 15.48 is 40 percent of 38.7 15.49 is 40 percent of 38.725 15.5 is 40 percent of 38.75 15.51 is 40 percent of 38.775 15.52 is 40 percent of 38.8 15.53 is 40 percent of 38.825 15.54 is 40 percent of 38.85 15.55 is 40 percent of 38.875 15.56 is 40 percent of 38.9 15.57 is 40 percent of 38.925 15.58 is 40 percent of 38.95 15.59 is 40 percent of 38.975
 15.6 is 40 percent of 39 15.61 is 40 percent of 39.025 15.62 is 40 percent of 39.05 15.63 is 40 percent of 39.075 15.64 is 40 percent of 39.1 15.65 is 40 percent of 39.125 15.66 is 40 percent of 39.15 15.67 is 40 percent of 39.175 15.68 is 40 percent of 39.2 15.69 is 40 percent of 39.225 15.7 is 40 percent of 39.25 15.71 is 40 percent of 39.275 15.72 is 40 percent of 39.3 15.73 is 40 percent of 39.325 15.74 is 40 percent of 39.35 15.75 is 40 percent of 39.375 15.76 is 40 percent of 39.4 15.77 is 40 percent of 39.425 15.78 is 40 percent of 39.45 15.79 is 40 percent of 39.475
 15.8 is 40 percent of 39.5 15.81 is 40 percent of 39.525 15.82 is 40 percent of 39.55 15.83 is 40 percent of 39.575 15.84 is 40 percent of 39.6 15.85 is 40 percent of 39.625 15.86 is 40 percent of 39.65 15.87 is 40 percent of 39.675 15.88 is 40 percent of 39.7 15.89 is 40 percent of 39.725 15.9 is 40 percent of 39.75 15.91 is 40 percent of 39.775 15.92 is 40 percent of 39.8 15.93 is 40 percent of 39.825 15.94 is 40 percent of 39.85 15.95 is 40 percent of 39.875 15.96 is 40 percent of 39.9 15.97 is 40 percent of 39.925 15.98 is 40 percent of 39.95 15.99 is 40 percent of 39.975