Question: 120 is 80 percent of what number

Answer: 120 is 80 percent of 150

Step by step solution for calculating 120 is 80 percent of what number

We already have our first value 120 and the second value 80. 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 = 80% × Y

STEP 2 120 = 80/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 80 we will arrive at:

STEP 3 Y = 120 × 100/80

STEP 4 Y = 120 × 100 ÷ 80

STEP 5 Y = 150

Finally, we have found the value of Y which is 150 and that is our answer.

You can easily calculate 120 is 80 percent of what number by using any regular calculator, simply enter 120 × 100 ÷ 80 and you will get your answer which is 150

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Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 80 percent of the marbles are red. If there are 120 red marbles. How many marbles does he have altogether?

Answer: 150 marbles.

How To: In this problem, we know that the Percent is 80, 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 80.

So, 12000 divided by 80 = 150

And that means that the total number of marbles is 150.


Question: A high school marching band has 120 flute players, If 80 percent of the band members play the flute, then how many members are in the band?

Answer: There are 150 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 80 percent of the band, so the "Percent" is 80.

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 80.

12000 divided by 80 equals 150

That means that the total number of band members is 150.

Have time and want to learn the calculation?

Let's assume the unknown value is Y

First writing it as: 100% / Y = 80% / 120

Drop the percentage marks to simplify your calculations: 100 / Y = 80 / 120

Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 80 / 120 ) Y

Simplifying the right side, we get: 100 = 80 Y

Dividing both sides of the equation by 80, we will arrive at 150 = Y

This leaves us with our final answer: 120 is 80 percent of 150

Percentage Table

120 is 80 percent of 150
120.01 is 80 percent of 150.013
120.02 is 80 percent of 150.025
120.03 is 80 percent of 150.038
120.04 is 80 percent of 150.05
120.05 is 80 percent of 150.063
120.06 is 80 percent of 150.075
120.07 is 80 percent of 150.088
120.08 is 80 percent of 150.1
120.09 is 80 percent of 150.113
120.1 is 80 percent of 150.125
120.11 is 80 percent of 150.138
120.12 is 80 percent of 150.15
120.13 is 80 percent of 150.163
120.14 is 80 percent of 150.175
120.15 is 80 percent of 150.188
120.16 is 80 percent of 150.2
120.17 is 80 percent of 150.213
120.18 is 80 percent of 150.225
120.19 is 80 percent of 150.238
120.2 is 80 percent of 150.25
120.21 is 80 percent of 150.263
120.22 is 80 percent of 150.275
120.23 is 80 percent of 150.288
120.24 is 80 percent of 150.3
120.25 is 80 percent of 150.313
120.26 is 80 percent of 150.325
120.27 is 80 percent of 150.338
120.28 is 80 percent of 150.35
120.29 is 80 percent of 150.363
120.3 is 80 percent of 150.375
120.31 is 80 percent of 150.388
120.32 is 80 percent of 150.4
120.33 is 80 percent of 150.413
120.34 is 80 percent of 150.425
120.35 is 80 percent of 150.438
120.36 is 80 percent of 150.45
120.37 is 80 percent of 150.463
120.38 is 80 percent of 150.475
120.39 is 80 percent of 150.488
120.4 is 80 percent of 150.5
120.41 is 80 percent of 150.513
120.42 is 80 percent of 150.525
120.43 is 80 percent of 150.538
120.44 is 80 percent of 150.55
120.45 is 80 percent of 150.563
120.46 is 80 percent of 150.575
120.47 is 80 percent of 150.588
120.48 is 80 percent of 150.6
120.49 is 80 percent of 150.613
120.5 is 80 percent of 150.625
120.51 is 80 percent of 150.638
120.52 is 80 percent of 150.65
120.53 is 80 percent of 150.663
120.54 is 80 percent of 150.675
120.55 is 80 percent of 150.688
120.56 is 80 percent of 150.7
120.57 is 80 percent of 150.713
120.58 is 80 percent of 150.725
120.59 is 80 percent of 150.738
120.6 is 80 percent of 150.75
120.61 is 80 percent of 150.763
120.62 is 80 percent of 150.775
120.63 is 80 percent of 150.788
120.64 is 80 percent of 150.8
120.65 is 80 percent of 150.813
120.66 is 80 percent of 150.825
120.67 is 80 percent of 150.838
120.68 is 80 percent of 150.85
120.69 is 80 percent of 150.863
120.7 is 80 percent of 150.875
120.71 is 80 percent of 150.888
120.72 is 80 percent of 150.9
120.73 is 80 percent of 150.913
120.74 is 80 percent of 150.925
120.75 is 80 percent of 150.938
120.76 is 80 percent of 150.95
120.77 is 80 percent of 150.963
120.78 is 80 percent of 150.975
120.79 is 80 percent of 150.988
120.8 is 80 percent of 151
120.81 is 80 percent of 151.013
120.82 is 80 percent of 151.025
120.83 is 80 percent of 151.038
120.84 is 80 percent of 151.05
120.85 is 80 percent of 151.063
120.86 is 80 percent of 151.075
120.87 is 80 percent of 151.088
120.88 is 80 percent of 151.1
120.89 is 80 percent of 151.113
120.9 is 80 percent of 151.125
120.91 is 80 percent of 151.138
120.92 is 80 percent of 151.15
120.93 is 80 percent of 151.163
120.94 is 80 percent of 151.175
120.95 is 80 percent of 151.188
120.96 is 80 percent of 151.2
120.97 is 80 percent of 151.213
120.98 is 80 percent of 151.225
120.99 is 80 percent of 151.238