Question: 264 is 55 percent of what number

Answer: 264 is 55 percent of 480

Step by step solution for calculating 264 is 55 percent of what number

We already have our first value 264 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 1 264 = 55% × Y

STEP 2 264 = 55/100× Y

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

STEP 3 Y = 264 × 100/55

STEP 4 Y = 264 × 100 ÷ 55

STEP 5 Y = 480

Finally, we have found the value of Y which is 480 and that is our answer.

You can easily calculate 264 is 55 percent of what number by using any regular calculator, simply enter 264 × 100 ÷ 55 and you will get your answer which is 480

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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 264 red marbles. How many marbles does he have altogether?

Answer: 480 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 264.

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 264.

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

264 × 100 = 26400

In step two, we take that 26400 and divide it by the "Percent", which we are told is 55.

So, 26400 divided by 55 = 480

And that means that the total number of marbles is 480.


Question: A high school marching band has 264 flute players, If 55 percent of the band members play the flute, then how many members are in the band?

Answer: There are 480 members in the band.

How To: The smaller "Part" in this problem is 264 since there are 264 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.

264 × 100 = 26400

For step two, we divide that 26400 by the "Percent", which is 55.

26400 divided by 55 equals 480

That means that the total number of band members is 480.

Have time and want to learn the calculation?

Let's assume the unknown value is Y

First writing it as: 100% / Y = 55% / 264

Drop the percentage marks to simplify your calculations: 100 / Y = 55 / 264

Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 55 / 264 ) Y

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

Dividing both sides of the equation by 55, we will arrive at 480 = Y

This leaves us with our final answer: 264 is 55 percent of 480

Percentage Table

264 is 55 percent of 480
264.01 is 55 percent of 480.018
264.02 is 55 percent of 480.036
264.03 is 55 percent of 480.055
264.04 is 55 percent of 480.073
264.05 is 55 percent of 480.091
264.06 is 55 percent of 480.109
264.07 is 55 percent of 480.127
264.08 is 55 percent of 480.145
264.09 is 55 percent of 480.164
264.1 is 55 percent of 480.182
264.11 is 55 percent of 480.2
264.12 is 55 percent of 480.218
264.13 is 55 percent of 480.236
264.14 is 55 percent of 480.255
264.15 is 55 percent of 480.273
264.16 is 55 percent of 480.291
264.17 is 55 percent of 480.309
264.18 is 55 percent of 480.327
264.19 is 55 percent of 480.345
264.2 is 55 percent of 480.364
264.21 is 55 percent of 480.382
264.22 is 55 percent of 480.4
264.23 is 55 percent of 480.418
264.24 is 55 percent of 480.436
264.25 is 55 percent of 480.455
264.26 is 55 percent of 480.473
264.27 is 55 percent of 480.491
264.28 is 55 percent of 480.509
264.29 is 55 percent of 480.527
264.3 is 55 percent of 480.545
264.31 is 55 percent of 480.564
264.32 is 55 percent of 480.582
264.33 is 55 percent of 480.6
264.34 is 55 percent of 480.618
264.35 is 55 percent of 480.636
264.36 is 55 percent of 480.655
264.37 is 55 percent of 480.673
264.38 is 55 percent of 480.691
264.39 is 55 percent of 480.709
264.4 is 55 percent of 480.727
264.41 is 55 percent of 480.745
264.42 is 55 percent of 480.764
264.43 is 55 percent of 480.782
264.44 is 55 percent of 480.8
264.45 is 55 percent of 480.818
264.46 is 55 percent of 480.836
264.47 is 55 percent of 480.855
264.48 is 55 percent of 480.873
264.49 is 55 percent of 480.891
264.5 is 55 percent of 480.909
264.51 is 55 percent of 480.927
264.52 is 55 percent of 480.945
264.53 is 55 percent of 480.964
264.54 is 55 percent of 480.982
264.55 is 55 percent of 481
264.56 is 55 percent of 481.018
264.57 is 55 percent of 481.036
264.58 is 55 percent of 481.055
264.59 is 55 percent of 481.073
264.6 is 55 percent of 481.091
264.61 is 55 percent of 481.109
264.62 is 55 percent of 481.127
264.63 is 55 percent of 481.145
264.64 is 55 percent of 481.164
264.65 is 55 percent of 481.182
264.66 is 55 percent of 481.2
264.67 is 55 percent of 481.218
264.68 is 55 percent of 481.236
264.69 is 55 percent of 481.255
264.7 is 55 percent of 481.273
264.71 is 55 percent of 481.291
264.72 is 55 percent of 481.309
264.73 is 55 percent of 481.327
264.74 is 55 percent of 481.345
264.75 is 55 percent of 481.364
264.76 is 55 percent of 481.382
264.77 is 55 percent of 481.4
264.78 is 55 percent of 481.418
264.79 is 55 percent of 481.436
264.8 is 55 percent of 481.455
264.81 is 55 percent of 481.473
264.82 is 55 percent of 481.491
264.83 is 55 percent of 481.509
264.84 is 55 percent of 481.527
264.85 is 55 percent of 481.545
264.86 is 55 percent of 481.564
264.87 is 55 percent of 481.582
264.88 is 55 percent of 481.6
264.89 is 55 percent of 481.618
264.9 is 55 percent of 481.636
264.91 is 55 percent of 481.655
264.92 is 55 percent of 481.673
264.93 is 55 percent of 481.691
264.94 is 55 percent of 481.709
264.95 is 55 percent of 481.727
264.96 is 55 percent of 481.745
264.97 is 55 percent of 481.764
264.98 is 55 percent of 481.782
264.99 is 55 percent of 481.8