Question: 84 is 21 percent of what number?

Answer: 400

If you want to learn more, then please keep reading, and you won't be disappointed.

Step by step solution for calculating 84 is 21 percent of what number

We already have our first value 84 and the second value 21. 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 184 = 21% × Y

STEP 284 = 21/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 21 we will arrive at:

STEP 3Y = 84 × 100/21

STEP 4Y = 84 × 100 ÷ 21

STEP 5Y = 400

Finally, we have found the value of Y which is 400 and that is our answer.

You can easily calculate 84 is 21 percent of what number by using any regular calculator, simply enter 84 × 100 ÷ 21 and you will get your answer which is 400

Here is a Percentage Calculator to solve similar calculations such as 84 is 21 percent of what number. You can solve this type of calculation with your values by entering them into the calculator's fields, and click 'Calculate' to get the result and explanation.

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Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 21 percent of the marbles are red. If there are 84 red marbles. How many marbles does he have altogether?

Answer: 400 marbles.

How To: In this problem, we know that the Percent is 21, and we are also told that the Part of the marbles is red, so we know that the Part is 84.

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 84.

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

84 × 100 = 8400

In step two, we take that 8400 and divide it by the "Percent", which we are told is 21.

So, 8400 divided by 21 = 400

And that means that the total number of marbles is 400.


Question: A high school marching band has 84 flute players, If 21 percent of the band members play the flute, then how many members are in the band?

Answer: There are 400 members in the band.

How To: The smaller "Part" in this problem is 84 since there are 84 flute players and we are told that they make up 21 percent of the band, so the "Percent" is 21.

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.

84 × 100 = 8400

For step two, we divide that 8400 by the "Percent", which is 21.

8400 divided by 21 equals 400

That means that the total number of band members is 400.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 21% / 84

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 21 / 84

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 21 / 84 ) Y

Step 5: Simplifying the right side, we get: 100 = 21 Y

Step 6: Dividing both sides of the equation by 21, we will arrive at 400 = Y

This leaves us with our final answer: 84 is 21 percent of 400

Percentage Table

84 is 21 percent of 400
84.01 is 21 percent of 400.048
84.02 is 21 percent of 400.095
84.03 is 21 percent of 400.143
84.04 is 21 percent of 400.19
84.05 is 21 percent of 400.238
84.06 is 21 percent of 400.286
84.07 is 21 percent of 400.333
84.08 is 21 percent of 400.381
84.09 is 21 percent of 400.429
84.1 is 21 percent of 400.476
84.11 is 21 percent of 400.524
84.12 is 21 percent of 400.571
84.13 is 21 percent of 400.619
84.14 is 21 percent of 400.667
84.15 is 21 percent of 400.714
84.16 is 21 percent of 400.762
84.17 is 21 percent of 400.81
84.18 is 21 percent of 400.857
84.19 is 21 percent of 400.905
84.2 is 21 percent of 400.952
84.21 is 21 percent of 401
84.22 is 21 percent of 401.048
84.23 is 21 percent of 401.095
84.24 is 21 percent of 401.143
84.25 is 21 percent of 401.19
84.26 is 21 percent of 401.238
84.27 is 21 percent of 401.286
84.28 is 21 percent of 401.333
84.29 is 21 percent of 401.381
84.3 is 21 percent of 401.429
84.31 is 21 percent of 401.476
84.32 is 21 percent of 401.524
84.33 is 21 percent of 401.571
84.34 is 21 percent of 401.619
84.35 is 21 percent of 401.667
84.36 is 21 percent of 401.714
84.37 is 21 percent of 401.762
84.38 is 21 percent of 401.81
84.39 is 21 percent of 401.857
84.4 is 21 percent of 401.905
84.41 is 21 percent of 401.952
84.42 is 21 percent of 402
84.43 is 21 percent of 402.048
84.44 is 21 percent of 402.095
84.45 is 21 percent of 402.143
84.46 is 21 percent of 402.19
84.47 is 21 percent of 402.238
84.48 is 21 percent of 402.286
84.49 is 21 percent of 402.333
84.5 is 21 percent of 402.381
84.51 is 21 percent of 402.429
84.52 is 21 percent of 402.476
84.53 is 21 percent of 402.524
84.54 is 21 percent of 402.571
84.55 is 21 percent of 402.619
84.56 is 21 percent of 402.667
84.57 is 21 percent of 402.714
84.58 is 21 percent of 402.762
84.59 is 21 percent of 402.81
84.6 is 21 percent of 402.857
84.61 is 21 percent of 402.905
84.62 is 21 percent of 402.952
84.63 is 21 percent of 403
84.64 is 21 percent of 403.048
84.65 is 21 percent of 403.095
84.66 is 21 percent of 403.143
84.67 is 21 percent of 403.19
84.68 is 21 percent of 403.238
84.69 is 21 percent of 403.286
84.7 is 21 percent of 403.333
84.71 is 21 percent of 403.381
84.72 is 21 percent of 403.429
84.73 is 21 percent of 403.476
84.74 is 21 percent of 403.524
84.75 is 21 percent of 403.571
84.76 is 21 percent of 403.619
84.77 is 21 percent of 403.667
84.78 is 21 percent of 403.714
84.79 is 21 percent of 403.762
84.8 is 21 percent of 403.81
84.81 is 21 percent of 403.857
84.82 is 21 percent of 403.905
84.83 is 21 percent of 403.952
84.84 is 21 percent of 404
84.85 is 21 percent of 404.048
84.86 is 21 percent of 404.095
84.87 is 21 percent of 404.143
84.88 is 21 percent of 404.19
84.89 is 21 percent of 404.238
84.9 is 21 percent of 404.286
84.91 is 21 percent of 404.333
84.92 is 21 percent of 404.381
84.93 is 21 percent of 404.429
84.94 is 21 percent of 404.476
84.95 is 21 percent of 404.524
84.96 is 21 percent of 404.571
84.97 is 21 percent of 404.619
84.98 is 21 percent of 404.667
84.99 is 21 percent of 404.714