Question: 11 is 40 percent of what number

Answer: 11 is 40 percent of 27.5

Step by step solution for calculating 11 is 40 percent of what number

We already have our first value 11 and the second value 40. 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 11 = 40% × Y

STEP 2 11 = 40/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 40 we will arrive at:

STEP 3 Y = 11 × 100/40

STEP 4 Y = 11 × 100 ÷ 40

STEP 5 Y = 27.5

Finally, we have found the value of Y which is 27.5 and that is our answer.

You can easily calculate 11 is 40 percent of what number by using any regular calculator, simply enter 11 × 100 ÷ 40 and you will get your answer which is 27.5

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Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 40 percent of the marbles are red. If there are 11 red marbles. How many marbles does he have altogether?

Answer: 27.5 marbles.

How To: In this problem, we know that the Percent is 40, and we are also told that the Part of the marbles is red, so we know that the Part is 11.

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 11.

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

11 × 100 = 1100

In step two, we take that 1100 and divide it by the "Percent", which we are told is 40.

So, 1100 divided by 40 = 27.5

And that means that the total number of marbles is 27.5.


Question: A high school marching band has 11 flute players, If 40 percent of the band members play the flute, then how many members are in the band?

Answer: There are 27.5 members in the band.

How To: The smaller "Part" in this problem is 11 since there are 11 flute players and we are told that they make up 40 percent of the band, so the "Percent" is 40.

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.

11 × 100 = 1100

For step two, we divide that 1100 by the "Percent", which is 40.

1100 divided by 40 equals 27.5

That means that the total number of band members is 27.5.

Have time and want to learn the calculation?

Let's assume the unknown value is Y

First writing it as: 100% / Y = 40% / 11

Drop the percentage marks to simplify your calculations: 100 / Y = 40 / 11

Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 40 / 11 ) Y

Simplifying the right side, we get: 100 = 40 Y

Dividing both sides of the equation by 40, we will arrive at 27.5 = Y

This leaves us with our final answer: 11 is 40 percent of 27.5

Percentage Table

11 is 40 percent of 27.5
11.01 is 40 percent of 27.525
11.02 is 40 percent of 27.55
11.03 is 40 percent of 27.575
11.04 is 40 percent of 27.6
11.05 is 40 percent of 27.625
11.06 is 40 percent of 27.65
11.07 is 40 percent of 27.675
11.08 is 40 percent of 27.7
11.09 is 40 percent of 27.725
11.1 is 40 percent of 27.75
11.11 is 40 percent of 27.775
11.12 is 40 percent of 27.8
11.13 is 40 percent of 27.825
11.14 is 40 percent of 27.85
11.15 is 40 percent of 27.875
11.16 is 40 percent of 27.9
11.17 is 40 percent of 27.925
11.18 is 40 percent of 27.95
11.19 is 40 percent of 27.975
11.2 is 40 percent of 28
11.21 is 40 percent of 28.025
11.22 is 40 percent of 28.05
11.23 is 40 percent of 28.075
11.24 is 40 percent of 28.1
11.25 is 40 percent of 28.125
11.26 is 40 percent of 28.15
11.27 is 40 percent of 28.175
11.28 is 40 percent of 28.2
11.29 is 40 percent of 28.225
11.3 is 40 percent of 28.25
11.31 is 40 percent of 28.275
11.32 is 40 percent of 28.3
11.33 is 40 percent of 28.325
11.34 is 40 percent of 28.35
11.35 is 40 percent of 28.375
11.36 is 40 percent of 28.4
11.37 is 40 percent of 28.425
11.38 is 40 percent of 28.45
11.39 is 40 percent of 28.475
11.4 is 40 percent of 28.5
11.41 is 40 percent of 28.525
11.42 is 40 percent of 28.55
11.43 is 40 percent of 28.575
11.44 is 40 percent of 28.6
11.45 is 40 percent of 28.625
11.46 is 40 percent of 28.65
11.47 is 40 percent of 28.675
11.48 is 40 percent of 28.7
11.49 is 40 percent of 28.725
11.5 is 40 percent of 28.75
11.51 is 40 percent of 28.775
11.52 is 40 percent of 28.8
11.53 is 40 percent of 28.825
11.54 is 40 percent of 28.85
11.55 is 40 percent of 28.875
11.56 is 40 percent of 28.9
11.57 is 40 percent of 28.925
11.58 is 40 percent of 28.95
11.59 is 40 percent of 28.975
11.6 is 40 percent of 29
11.61 is 40 percent of 29.025
11.62 is 40 percent of 29.05
11.63 is 40 percent of 29.075
11.64 is 40 percent of 29.1
11.65 is 40 percent of 29.125
11.66 is 40 percent of 29.15
11.67 is 40 percent of 29.175
11.68 is 40 percent of 29.2
11.69 is 40 percent of 29.225
11.7 is 40 percent of 29.25
11.71 is 40 percent of 29.275
11.72 is 40 percent of 29.3
11.73 is 40 percent of 29.325
11.74 is 40 percent of 29.35
11.75 is 40 percent of 29.375
11.76 is 40 percent of 29.4
11.77 is 40 percent of 29.425
11.78 is 40 percent of 29.45
11.79 is 40 percent of 29.475
11.8 is 40 percent of 29.5
11.81 is 40 percent of 29.525
11.82 is 40 percent of 29.55
11.83 is 40 percent of 29.575
11.84 is 40 percent of 29.6
11.85 is 40 percent of 29.625
11.86 is 40 percent of 29.65
11.87 is 40 percent of 29.675
11.88 is 40 percent of 29.7
11.89 is 40 percent of 29.725
11.9 is 40 percent of 29.75
11.91 is 40 percent of 29.775
11.92 is 40 percent of 29.8
11.93 is 40 percent of 29.825
11.94 is 40 percent of 29.85
11.95 is 40 percent of 29.875
11.96 is 40 percent of 29.9
11.97 is 40 percent of 29.925
11.98 is 40 percent of 29.95
11.99 is 40 percent of 29.975