Question: 120 is 75 percent of what number

Answer: 120 is 75 percent of 160

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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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?

Answer: 160 marbles.

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