# Question: 120 is 75 percent of what number

## Step by step solution for calculating 120 is 75 percent of what number

We already have our first value 120 and the second value 75. 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 = 75% × Y

STEP 2 120 = 75/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 75 we will arrive at:

STEP 3 Y = 120 × 100/75

STEP 4 Y = 120 × 100 ÷ 75

STEP 5 Y = 160

Finally, we have found the value of Y which is 160 and that is our answer.

You can easily calculate 120 is 75 percent of what number by using any regular calculator, simply enter 120 × 100 ÷ 75 and you will get your answer which is 160

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Here is a Percentage Calculator to solve similar calculations such as 120 is 75 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 75 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 75, 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 75.

So, 12000 divided by 75 = 160

And that means that the total number of marbles is 160.

Question: A high school marching band has 120 flute players, If 75 percent of the band members play the flute, then how many members are in the band?

Answer: There are 160 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 75 percent of the band, so the "Percent" is 75.

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 75.

12000 divided by 75 equals 160

That means that the total number of band members is 160.

## Have time and want to learn the calculation?

Let's assume the unknown value is Y

First writing it as: 100% / Y = 75% / 120

Drop the percentage marks to simplify your calculations: 100 / Y = 75 / 120

Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 75 / 120 ) Y

Simplifying the right side, we get: 100 = 75 Y

Dividing both sides of the equation by 75, we will arrive at 160 = Y

This leaves us with our final answer: 120 is 75 percent of 160

## Percentage Table

 120 is 75 percent of 160 120.01 is 75 percent of 160.013 120.02 is 75 percent of 160.027 120.03 is 75 percent of 160.04 120.04 is 75 percent of 160.053 120.05 is 75 percent of 160.067 120.06 is 75 percent of 160.08 120.07 is 75 percent of 160.093 120.08 is 75 percent of 160.107 120.09 is 75 percent of 160.12 120.1 is 75 percent of 160.133 120.11 is 75 percent of 160.147 120.12 is 75 percent of 160.16 120.13 is 75 percent of 160.173 120.14 is 75 percent of 160.187 120.15 is 75 percent of 160.2 120.16 is 75 percent of 160.213 120.17 is 75 percent of 160.227 120.18 is 75 percent of 160.24 120.19 is 75 percent of 160.253
 120.2 is 75 percent of 160.267 120.21 is 75 percent of 160.28 120.22 is 75 percent of 160.293 120.23 is 75 percent of 160.307 120.24 is 75 percent of 160.32 120.25 is 75 percent of 160.333 120.26 is 75 percent of 160.347 120.27 is 75 percent of 160.36 120.28 is 75 percent of 160.373 120.29 is 75 percent of 160.387 120.3 is 75 percent of 160.4 120.31 is 75 percent of 160.413 120.32 is 75 percent of 160.427 120.33 is 75 percent of 160.44 120.34 is 75 percent of 160.453 120.35 is 75 percent of 160.467 120.36 is 75 percent of 160.48 120.37 is 75 percent of 160.493 120.38 is 75 percent of 160.507 120.39 is 75 percent of 160.52
 120.4 is 75 percent of 160.533 120.41 is 75 percent of 160.547 120.42 is 75 percent of 160.56 120.43 is 75 percent of 160.573 120.44 is 75 percent of 160.587 120.45 is 75 percent of 160.6 120.46 is 75 percent of 160.613 120.47 is 75 percent of 160.627 120.48 is 75 percent of 160.64 120.49 is 75 percent of 160.653 120.5 is 75 percent of 160.667 120.51 is 75 percent of 160.68 120.52 is 75 percent of 160.693 120.53 is 75 percent of 160.707 120.54 is 75 percent of 160.72 120.55 is 75 percent of 160.733 120.56 is 75 percent of 160.747 120.57 is 75 percent of 160.76 120.58 is 75 percent of 160.773 120.59 is 75 percent of 160.787
 120.6 is 75 percent of 160.8 120.61 is 75 percent of 160.813 120.62 is 75 percent of 160.827 120.63 is 75 percent of 160.84 120.64 is 75 percent of 160.853 120.65 is 75 percent of 160.867 120.66 is 75 percent of 160.88 120.67 is 75 percent of 160.893 120.68 is 75 percent of 160.907 120.69 is 75 percent of 160.92 120.7 is 75 percent of 160.933 120.71 is 75 percent of 160.947 120.72 is 75 percent of 160.96 120.73 is 75 percent of 160.973 120.74 is 75 percent of 160.987 120.75 is 75 percent of 161 120.76 is 75 percent of 161.013 120.77 is 75 percent of 161.027 120.78 is 75 percent of 161.04 120.79 is 75 percent of 161.053
 120.8 is 75 percent of 161.067 120.81 is 75 percent of 161.08 120.82 is 75 percent of 161.093 120.83 is 75 percent of 161.107 120.84 is 75 percent of 161.12 120.85 is 75 percent of 161.133 120.86 is 75 percent of 161.147 120.87 is 75 percent of 161.16 120.88 is 75 percent of 161.173 120.89 is 75 percent of 161.187 120.9 is 75 percent of 161.2 120.91 is 75 percent of 161.213 120.92 is 75 percent of 161.227 120.93 is 75 percent of 161.24 120.94 is 75 percent of 161.253 120.95 is 75 percent of 161.267 120.96 is 75 percent of 161.28 120.97 is 75 percent of 161.293 120.98 is 75 percent of 161.307 120.99 is 75 percent of 161.32