Question: 120 is 15 percent of what number

Answer: 120 is 15 percent of 800

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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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?

Answer: 800 marbles.

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