# Question: 55 is 20 percent of what number?

## Step by step solution for calculating 55 is 20 percent of what number

We already have our first value 55 and the second value 20. 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 = 20% × Y

STEP 2 55 = 20/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 20 we will arrive at:

STEP 3 Y = 55 × 100/20

STEP 4 Y = 55 × 100 ÷ 20

STEP 5 Y = 275

Finally, we have found the value of Y which is 275 and that is our answer. You can easily calculate 55 is 20 percent of what number by using any regular calculator, simply enter 55 × 100 ÷ 20 and you will get your answer which is 275 Here is a Percentage Calculator to solve similar calculations such as 55 is 20 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 20 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 20, 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 20.

So, 5500 divided by 20 = 275

And that means that the total number of marbles is 275.

Question: A high school marching band has 55 flute players, If 20 percent of the band members play the flute, then how many members are in the band?

Answer: There are 275 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 20 percent of the band, so the "Percent" is 20.

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 20.

5500 divided by 20 equals 275

That means that the total number of band members is 275.

## Another step by step method

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

Step 2: First writing it as: 100% / Y = 20% / 55

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 20 / 55

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 20 / 55 ) Y

Step 5: Simplifying the right side, we get: 100 = 20 Y

Step 6: Dividing both sides of the equation by 20, we will arrive at 275 = Y

This leaves us with our final answer: 55 is 20 percent of 275