Question: 16 is 30 percent of what number

Answer: 16 is 30 percent of 53.333

Step by step solution for calculating 16 is 30 percent of what number

We already have our first value 16 and the second value 30. 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 16 = 30% × Y

STEP 2 16 = 30/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 30 we will arrive at:

STEP 3 Y = 16 × 100/30

STEP 4 Y = 16 × 100 ÷ 30

STEP 5 Y = 53.333

Finally, we have found the value of Y which is 53.333 and that is our answer.

You can easily calculate 16 is 30 percent of what number by using any regular calculator, simply enter 16 × 100 ÷ 30 and you will get your answer which is 53.333

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Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 30 percent of the marbles are red. If there are 16 red marbles. How many marbles does he have altogether?

Answer: 53.333 marbles.

How To: In this problem, we know that the Percent is 30, and we are also told that the Part of the marbles is red, so we know that the Part is 16.

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 16.

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

16 × 100 = 1600

In step two, we take that 1600 and divide it by the "Percent", which we are told is 30.

So, 1600 divided by 30 = 53.333

And that means that the total number of marbles is 53.333.


Question: A high school marching band has 16 flute players, If 30 percent of the band members play the flute, then how many members are in the band?

Answer: There are 53.333 members in the band.

How To: The smaller "Part" in this problem is 16 since there are 16 flute players and we are told that they make up 30 percent of the band, so the "Percent" is 30.

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.

16 × 100 = 1600

For step two, we divide that 1600 by the "Percent", which is 30.

1600 divided by 30 equals 53.333

That means that the total number of band members is 53.333.

Have time and want to learn the calculation?

Let's assume the unknown value is Y

First writing it as: 100% / Y = 30% / 16

Drop the percentage marks to simplify your calculations: 100 / Y = 30 / 16

Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 30 / 16 ) Y

Simplifying the right side, we get: 100 = 30 Y

Dividing both sides of the equation by 30, we will arrive at 53.333 = Y

This leaves us with our final answer: 16 is 30 percent of 53.333

Percentage Table

16 is 30 percent of 53.333
16.01 is 30 percent of 53.367
16.02 is 30 percent of 53.4
16.03 is 30 percent of 53.433
16.04 is 30 percent of 53.467
16.05 is 30 percent of 53.5
16.06 is 30 percent of 53.533
16.07 is 30 percent of 53.567
16.08 is 30 percent of 53.6
16.09 is 30 percent of 53.633
16.1 is 30 percent of 53.667
16.11 is 30 percent of 53.7
16.12 is 30 percent of 53.733
16.13 is 30 percent of 53.767
16.14 is 30 percent of 53.8
16.15 is 30 percent of 53.833
16.16 is 30 percent of 53.867
16.17 is 30 percent of 53.9
16.18 is 30 percent of 53.933
16.19 is 30 percent of 53.967
16.2 is 30 percent of 54
16.21 is 30 percent of 54.033
16.22 is 30 percent of 54.067
16.23 is 30 percent of 54.1
16.24 is 30 percent of 54.133
16.25 is 30 percent of 54.167
16.26 is 30 percent of 54.2
16.27 is 30 percent of 54.233
16.28 is 30 percent of 54.267
16.29 is 30 percent of 54.3
16.3 is 30 percent of 54.333
16.31 is 30 percent of 54.367
16.32 is 30 percent of 54.4
16.33 is 30 percent of 54.433
16.34 is 30 percent of 54.467
16.35 is 30 percent of 54.5
16.36 is 30 percent of 54.533
16.37 is 30 percent of 54.567
16.38 is 30 percent of 54.6
16.39 is 30 percent of 54.633
16.4 is 30 percent of 54.667
16.41 is 30 percent of 54.7
16.42 is 30 percent of 54.733
16.43 is 30 percent of 54.767
16.44 is 30 percent of 54.8
16.45 is 30 percent of 54.833
16.46 is 30 percent of 54.867
16.47 is 30 percent of 54.9
16.48 is 30 percent of 54.933
16.49 is 30 percent of 54.967
16.5 is 30 percent of 55
16.51 is 30 percent of 55.033
16.52 is 30 percent of 55.067
16.53 is 30 percent of 55.1
16.54 is 30 percent of 55.133
16.55 is 30 percent of 55.167
16.56 is 30 percent of 55.2
16.57 is 30 percent of 55.233
16.58 is 30 percent of 55.267
16.59 is 30 percent of 55.3
16.6 is 30 percent of 55.333
16.61 is 30 percent of 55.367
16.62 is 30 percent of 55.4
16.63 is 30 percent of 55.433
16.64 is 30 percent of 55.467
16.65 is 30 percent of 55.5
16.66 is 30 percent of 55.533
16.67 is 30 percent of 55.567
16.68 is 30 percent of 55.6
16.69 is 30 percent of 55.633
16.7 is 30 percent of 55.667
16.71 is 30 percent of 55.7
16.72 is 30 percent of 55.733
16.73 is 30 percent of 55.767
16.74 is 30 percent of 55.8
16.75 is 30 percent of 55.833
16.76 is 30 percent of 55.867
16.77 is 30 percent of 55.9
16.78 is 30 percent of 55.933
16.79 is 30 percent of 55.967
16.8 is 30 percent of 56
16.81 is 30 percent of 56.033
16.82 is 30 percent of 56.067
16.83 is 30 percent of 56.1
16.84 is 30 percent of 56.133
16.85 is 30 percent of 56.167
16.86 is 30 percent of 56.2
16.87 is 30 percent of 56.233
16.88 is 30 percent of 56.267
16.89 is 30 percent of 56.3
16.9 is 30 percent of 56.333
16.91 is 30 percent of 56.367
16.92 is 30 percent of 56.4
16.93 is 30 percent of 56.433
16.94 is 30 percent of 56.467
16.95 is 30 percent of 56.5
16.96 is 30 percent of 56.533
16.97 is 30 percent of 56.567
16.98 is 30 percent of 56.6
16.99 is 30 percent of 56.633