# Question: 55 is 80 percent of what number?

## 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 1 55 = 80% × Y

STEP 2 55 = 80/100× Y

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

STEP 3 Y = 55 × 100/80

STEP 4 Y = 55 × 100 ÷ 80

STEP 5 Y = 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?

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