# Question: 120 is 15 percent of what number

## Step by step solution for calculating 120 is 15 percent of what number

We already have our first value 120 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 1 120 = 15% × Y

STEP 2 120 = 15/100× Y

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

STEP 3 Y = 120 × 100/15

STEP 4 Y = 120 × 100 ÷ 15

STEP 5 Y = 800

Finally, we have found the value of Y which is 800 and that is our answer.

You can easily calculate 120 is 15 percent of what number by using any regular calculator, simply enter 120 × 100 ÷ 15 and you will get your answer which is 800

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Here is a Percentage Calculator to solve similar calculations such as 120 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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percent of what number

## 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 120 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 120.

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 120.

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

120 × 100 = 12000

In step two, we take that 12000 and divide it by the "Percent", which we are told is 15.

So, 12000 divided by 15 = 800

And that means that the total number of marbles is 800.

Question: A high school marching band has 120 flute players, If 15 percent of the band members play the flute, then how many members are in the band?

Answer: There are 800 members in the band.

How To: The smaller "Part" in this problem is 120 since there are 120 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.

120 × 100 = 12000

For step two, we divide that 12000 by the "Percent", which is 15.

12000 divided by 15 equals 800

That means that the total number of band members is 800.

## Have time and want to learn the calculation?

Let's assume the unknown value is Y

First writing it as: 100% / Y = 15% / 120

Drop the percentage marks to simplify your calculations: 100 / Y = 15 / 120

Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 15 / 120 ) Y

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

Dividing both sides of the equation by 15, we will arrive at 800 = Y

This leaves us with our final answer: 120 is 15 percent of 800

## Percentage Table

 120 is 15 percent of 800 120.01 is 15 percent of 800.067 120.02 is 15 percent of 800.133 120.03 is 15 percent of 800.2 120.04 is 15 percent of 800.267 120.05 is 15 percent of 800.333 120.06 is 15 percent of 800.4 120.07 is 15 percent of 800.467 120.08 is 15 percent of 800.533 120.09 is 15 percent of 800.6 120.1 is 15 percent of 800.667 120.11 is 15 percent of 800.733 120.12 is 15 percent of 800.8 120.13 is 15 percent of 800.867 120.14 is 15 percent of 800.933 120.15 is 15 percent of 801 120.16 is 15 percent of 801.067 120.17 is 15 percent of 801.133 120.18 is 15 percent of 801.2 120.19 is 15 percent of 801.267
 120.2 is 15 percent of 801.333 120.21 is 15 percent of 801.4 120.22 is 15 percent of 801.467 120.23 is 15 percent of 801.533 120.24 is 15 percent of 801.6 120.25 is 15 percent of 801.667 120.26 is 15 percent of 801.733 120.27 is 15 percent of 801.8 120.28 is 15 percent of 801.867 120.29 is 15 percent of 801.933 120.3 is 15 percent of 802 120.31 is 15 percent of 802.067 120.32 is 15 percent of 802.133 120.33 is 15 percent of 802.2 120.34 is 15 percent of 802.267 120.35 is 15 percent of 802.333 120.36 is 15 percent of 802.4 120.37 is 15 percent of 802.467 120.38 is 15 percent of 802.533 120.39 is 15 percent of 802.6
 120.4 is 15 percent of 802.667 120.41 is 15 percent of 802.733 120.42 is 15 percent of 802.8 120.43 is 15 percent of 802.867 120.44 is 15 percent of 802.933 120.45 is 15 percent of 803 120.46 is 15 percent of 803.067 120.47 is 15 percent of 803.133 120.48 is 15 percent of 803.2 120.49 is 15 percent of 803.267 120.5 is 15 percent of 803.333 120.51 is 15 percent of 803.4 120.52 is 15 percent of 803.467 120.53 is 15 percent of 803.533 120.54 is 15 percent of 803.6 120.55 is 15 percent of 803.667 120.56 is 15 percent of 803.733 120.57 is 15 percent of 803.8 120.58 is 15 percent of 803.867 120.59 is 15 percent of 803.933
 120.6 is 15 percent of 804 120.61 is 15 percent of 804.067 120.62 is 15 percent of 804.133 120.63 is 15 percent of 804.2 120.64 is 15 percent of 804.267 120.65 is 15 percent of 804.333 120.66 is 15 percent of 804.4 120.67 is 15 percent of 804.467 120.68 is 15 percent of 804.533 120.69 is 15 percent of 804.6 120.7 is 15 percent of 804.667 120.71 is 15 percent of 804.733 120.72 is 15 percent of 804.8 120.73 is 15 percent of 804.867 120.74 is 15 percent of 804.933 120.75 is 15 percent of 805 120.76 is 15 percent of 805.067 120.77 is 15 percent of 805.133 120.78 is 15 percent of 805.2 120.79 is 15 percent of 805.267
 120.8 is 15 percent of 805.333 120.81 is 15 percent of 805.4 120.82 is 15 percent of 805.467 120.83 is 15 percent of 805.533 120.84 is 15 percent of 805.6 120.85 is 15 percent of 805.667 120.86 is 15 percent of 805.733 120.87 is 15 percent of 805.8 120.88 is 15 percent of 805.867 120.89 is 15 percent of 805.933 120.9 is 15 percent of 806 120.91 is 15 percent of 806.067 120.92 is 15 percent of 806.133 120.93 is 15 percent of 806.2 120.94 is 15 percent of 806.267 120.95 is 15 percent of 806.333 120.96 is 15 percent of 806.4 120.97 is 15 percent of 806.467 120.98 is 15 percent of 806.533 120.99 is 15 percent of 806.6