Solved: 495 is 55 Percent of What Number? = 900

Step by step solution for calculating 495 is 55 percent of what number

We already have our first value 495 and the second value 55. 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 1495 = 55% × Y

STEP 2495 = 55/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 55 we will arrive at:

STEP 3Y = 495 × 100/55

STEP 4Y = 495 × 100 ÷ 55

STEP 5Y = 900

Finally, we have found the value of Y which is 900 and that is our answer.

You can easily calculate 495 is 55 percent of what number by using any regular calculator, simply enter 495 × 100 ÷ 55 and you will get your answer which is 900

Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 55 percent of the marbles are red. If there are 495 red marbles. How many marbles does he have altogether?

Answer: 900 marbles.

How To: In this problem, we know that the Percent is 55, and we are also told that the Part of the marbles is red, so we know that the Part is 495.

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 495.

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

495 × 100 = 49500

In step two, we take that 49500 and divide it by the "Percent", which we are told is 55.

So, 49500 divided by 55 = 900

And that means that the total number of marbles is 900.

Question: A high school marching band has 495 flute players, If 55 percent of the band members play the flute, then how many members are in the band?

Answer: There are 900 members in the band.

How To: The smaller "Part" in this problem is 495 since there are 495 flute players and we are told that they make up 55 percent of the band, so the "Percent" is 55.

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.

495 × 100 = 49500

For step two, we divide that 49500 by the "Percent", which is 55.

49500 divided by 55 equals 900

That means that the total number of band members is 900.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 55% / 495

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 55 / 495

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 55 / 495 ) Y

Step 5: Simplifying the right side, we get: 100 = 55 Y

Step 6: Dividing both sides of the equation by 55, we will arrive at 900 = Y

This leaves us with our final answer: 495 is 55 percent of 900

Question: 495 is 55 percent of what number?

Answer: 900

Step by step solution for calculating 495 is 55 percent of what number

Sample questions, answers, and how to

Another step by step method

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