Question: 36 is 16 percent of what number

Answer: 36 is 16 percent of 225

Step by step solution for calculating 36 is 16 percent of what number

We already have our first value 36 and the second value 16. 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 36 = 16% × Y

STEP 2 36 = 16/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 16 we will arrive at:

STEP 3 Y = 36 × 100/16

STEP 4 Y = 36 × 100 ÷ 16

STEP 5 Y = 225

Finally, we have found the value of Y which is 225 and that is our answer.

You can easily calculate 36 is 16 percent of what number by using any regular calculator, simply enter 36 × 100 ÷ 16 and you will get your answer which is 225

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Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 16 percent of the marbles are red. If there are 36 red marbles. How many marbles does he have altogether?

Answer: 225 marbles.

How To: In this problem, we know that the Percent is 16, and we are also told that the Part of the marbles is red, so we know that the Part is 36.

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 36.

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

36 × 100 = 3600

In step two, we take that 3600 and divide it by the "Percent", which we are told is 16.

So, 3600 divided by 16 = 225

And that means that the total number of marbles is 225.


Question: A high school marching band has 36 flute players, If 16 percent of the band members play the flute, then how many members are in the band?

Answer: There are 225 members in the band.

How To: The smaller "Part" in this problem is 36 since there are 36 flute players and we are told that they make up 16 percent of the band, so the "Percent" is 16.

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.

36 × 100 = 3600

For step two, we divide that 3600 by the "Percent", which is 16.

3600 divided by 16 equals 225

That means that the total number of band members is 225.

Have time and want to learn the calculation?

Let's assume the unknown value is Y

First writing it as: 100% / Y = 16% / 36

Drop the percentage marks to simplify your calculations: 100 / Y = 16 / 36

Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 16 / 36 ) Y

Simplifying the right side, we get: 100 = 16 Y

Dividing both sides of the equation by 16, we will arrive at 225 = Y

This leaves us with our final answer: 36 is 16 percent of 225

Percentage Table

36 is 16 percent of 225
36.01 is 16 percent of 225.063
36.02 is 16 percent of 225.125
36.03 is 16 percent of 225.188
36.04 is 16 percent of 225.25
36.05 is 16 percent of 225.313
36.06 is 16 percent of 225.375
36.07 is 16 percent of 225.438
36.08 is 16 percent of 225.5
36.09 is 16 percent of 225.563
36.1 is 16 percent of 225.625
36.11 is 16 percent of 225.688
36.12 is 16 percent of 225.75
36.13 is 16 percent of 225.813
36.14 is 16 percent of 225.875
36.15 is 16 percent of 225.938
36.16 is 16 percent of 226
36.17 is 16 percent of 226.063
36.18 is 16 percent of 226.125
36.19 is 16 percent of 226.188
36.2 is 16 percent of 226.25
36.21 is 16 percent of 226.313
36.22 is 16 percent of 226.375
36.23 is 16 percent of 226.438
36.24 is 16 percent of 226.5
36.25 is 16 percent of 226.563
36.26 is 16 percent of 226.625
36.27 is 16 percent of 226.688
36.28 is 16 percent of 226.75
36.29 is 16 percent of 226.813
36.3 is 16 percent of 226.875
36.31 is 16 percent of 226.938
36.32 is 16 percent of 227
36.33 is 16 percent of 227.063
36.34 is 16 percent of 227.125
36.35 is 16 percent of 227.188
36.36 is 16 percent of 227.25
36.37 is 16 percent of 227.313
36.38 is 16 percent of 227.375
36.39 is 16 percent of 227.438
36.4 is 16 percent of 227.5
36.41 is 16 percent of 227.563
36.42 is 16 percent of 227.625
36.43 is 16 percent of 227.687
36.44 is 16 percent of 227.75
36.45 is 16 percent of 227.812
36.46 is 16 percent of 227.875
36.47 is 16 percent of 227.937
36.48 is 16 percent of 228
36.49 is 16 percent of 228.062
36.5 is 16 percent of 228.125
36.51 is 16 percent of 228.187
36.52 is 16 percent of 228.25
36.53 is 16 percent of 228.312
36.54 is 16 percent of 228.375
36.55 is 16 percent of 228.437
36.56 is 16 percent of 228.5
36.57 is 16 percent of 228.562
36.58 is 16 percent of 228.625
36.59 is 16 percent of 228.687
36.6 is 16 percent of 228.75
36.61 is 16 percent of 228.812
36.62 is 16 percent of 228.875
36.63 is 16 percent of 228.937
36.64 is 16 percent of 229
36.65 is 16 percent of 229.062
36.66 is 16 percent of 229.125
36.67 is 16 percent of 229.187
36.68 is 16 percent of 229.25
36.69 is 16 percent of 229.312
36.7 is 16 percent of 229.375
36.71 is 16 percent of 229.437
36.72 is 16 percent of 229.5
36.73 is 16 percent of 229.562
36.74 is 16 percent of 229.625
36.75 is 16 percent of 229.687
36.76 is 16 percent of 229.75
36.77 is 16 percent of 229.812
36.78 is 16 percent of 229.875
36.79 is 16 percent of 229.937
36.8 is 16 percent of 230
36.81 is 16 percent of 230.062
36.82 is 16 percent of 230.125
36.83 is 16 percent of 230.187
36.84 is 16 percent of 230.25
36.85 is 16 percent of 230.312
36.86 is 16 percent of 230.375
36.87 is 16 percent of 230.437
36.88 is 16 percent of 230.5
36.89 is 16 percent of 230.562
36.9 is 16 percent of 230.625
36.91 is 16 percent of 230.687
36.92 is 16 percent of 230.75
36.93 is 16 percent of 230.812
36.94 is 16 percent of 230.875
36.95 is 16 percent of 230.937
36.96 is 16 percent of 231
36.97 is 16 percent of 231.062
36.98 is 16 percent of 231.125
36.99 is 16 percent of 231.187