Question: 55 is 80 percent of what number?

Answer: 68.75

If you want to learn more, then please keep reading, and you won't be disappointed.

Step by step solution for calculating 55 is 80 percent of what number

We already have our first value 55 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 155 = 80% × Y

STEP 255 = 80/100× Y

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

STEP 3Y = 55 × 100/80

STEP 4Y = 55 × 100 ÷ 80

STEP 5Y = 68.75

Finally, we have found the value of Y which is 68.75 and that is our answer.

You can easily calculate 55 is 80 percent of what number by using any regular calculator, simply enter 55 × 100 ÷ 80 and you will get your answer which is 68.75

Here is a Percentage Calculator to solve similar calculations such as 55 is 80 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 80 percent of the marbles are red. If there are 55 red marbles. How many marbles does he have altogether?

Answer: 68.75 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 55.

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 55.

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

55 × 100 = 5500

In step two, we take that 5500 and divide it by the "Percent", which we are told is 80.

So, 5500 divided by 80 = 68.75

And that means that the total number of marbles is 68.75.


Question: A high school marching band has 55 flute players, If 80 percent of the band members play the flute, then how many members are in the band?

Answer: There are 68.75 members in the band.

How To: The smaller "Part" in this problem is 55 since there are 55 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.

55 × 100 = 5500

For step two, we divide that 5500 by the "Percent", which is 80.

5500 divided by 80 equals 68.75

That means that the total number of band members is 68.75.

Another step by step method

Step 1: Let's assume the unknown value is Y

Step 2: First writing it as: 100% / Y = 80% / 55

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 80 / 55

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 80 / 55 ) Y

Step 5: Simplifying the right side, we get: 100 = 80 Y

Step 6: Dividing both sides of the equation by 80, we will arrive at 68.75 = Y

This leaves us with our final answer: 55 is 80 percent of 68.75

Percentage Table

55 is 80 percent of 68.75
55.01 is 80 percent of 68.763
55.02 is 80 percent of 68.775
55.03 is 80 percent of 68.788
55.04 is 80 percent of 68.8
55.05 is 80 percent of 68.813
55.06 is 80 percent of 68.825
55.07 is 80 percent of 68.838
55.08 is 80 percent of 68.85
55.09 is 80 percent of 68.863
55.1 is 80 percent of 68.875
55.11 is 80 percent of 68.888
55.12 is 80 percent of 68.9
55.13 is 80 percent of 68.913
55.14 is 80 percent of 68.925
55.15 is 80 percent of 68.938
55.16 is 80 percent of 68.95
55.17 is 80 percent of 68.963
55.18 is 80 percent of 68.975
55.19 is 80 percent of 68.988
55.2 is 80 percent of 69
55.21 is 80 percent of 69.013
55.22 is 80 percent of 69.025
55.23 is 80 percent of 69.037
55.24 is 80 percent of 69.05
55.25 is 80 percent of 69.062
55.26 is 80 percent of 69.075
55.27 is 80 percent of 69.087
55.28 is 80 percent of 69.1
55.29 is 80 percent of 69.112
55.3 is 80 percent of 69.125
55.31 is 80 percent of 69.137
55.32 is 80 percent of 69.15
55.33 is 80 percent of 69.162
55.34 is 80 percent of 69.175
55.35 is 80 percent of 69.187
55.36 is 80 percent of 69.2
55.37 is 80 percent of 69.212
55.38 is 80 percent of 69.225
55.39 is 80 percent of 69.237
55.4 is 80 percent of 69.25
55.41 is 80 percent of 69.262
55.42 is 80 percent of 69.275
55.43 is 80 percent of 69.287
55.44 is 80 percent of 69.3
55.45 is 80 percent of 69.312
55.46 is 80 percent of 69.325
55.47 is 80 percent of 69.337
55.48 is 80 percent of 69.35
55.49 is 80 percent of 69.362
55.5 is 80 percent of 69.375
55.51 is 80 percent of 69.387
55.52 is 80 percent of 69.4
55.53 is 80 percent of 69.412
55.54 is 80 percent of 69.425
55.55 is 80 percent of 69.437
55.56 is 80 percent of 69.45
55.57 is 80 percent of 69.462
55.58 is 80 percent of 69.475
55.59 is 80 percent of 69.487
55.6 is 80 percent of 69.5
55.61 is 80 percent of 69.512
55.62 is 80 percent of 69.525
55.63 is 80 percent of 69.537
55.64 is 80 percent of 69.55
55.65 is 80 percent of 69.562
55.66 is 80 percent of 69.575
55.67 is 80 percent of 69.587
55.68 is 80 percent of 69.6
55.69 is 80 percent of 69.612
55.7 is 80 percent of 69.625
55.71 is 80 percent of 69.637
55.72 is 80 percent of 69.65
55.73 is 80 percent of 69.662
55.74 is 80 percent of 69.675
55.75 is 80 percent of 69.687
55.76 is 80 percent of 69.7
55.77 is 80 percent of 69.712
55.78 is 80 percent of 69.725
55.79 is 80 percent of 69.737
55.8 is 80 percent of 69.75
55.81 is 80 percent of 69.762
55.82 is 80 percent of 69.775
55.83 is 80 percent of 69.787
55.84 is 80 percent of 69.8
55.85 is 80 percent of 69.812
55.86 is 80 percent of 69.825
55.87 is 80 percent of 69.837
55.88 is 80 percent of 69.85
55.89 is 80 percent of 69.862
55.9 is 80 percent of 69.875
55.91 is 80 percent of 69.887
55.92 is 80 percent of 69.9
55.93 is 80 percent of 69.912
55.94 is 80 percent of 69.925
55.95 is 80 percent of 69.937
55.96 is 80 percent of 69.95
55.97 is 80 percent of 69.962
55.98 is 80 percent of 69.975
55.99 is 80 percent of 69.987