# Question: 40 is 30 percent of what number

## Step by step solution for calculating 40 is 30 percent of what number

We already have our first value 40 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 40 = 30% × Y

STEP 2 40 = 30/100× Y

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

STEP 3 Y = 40 × 100/30

STEP 4 Y = 40 × 100 ÷ 30

STEP 5 Y = 133.333

Finally, we have found the value of Y which is 133.333 and that is our answer.

You can easily calculate 40 is 30 percent of what number by using any regular calculator, simply enter 40 × 100 ÷ 30 and you will get your answer which is 133.333

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Here is a Percentage Calculator to solve similar calculations such as 40 is 30 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 30 percent of the marbles are red. If there are 40 red marbles. How many marbles does he have altogether?

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 40.

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 40.

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

40 × 100 = 4000

In step two, we take that 4000 and divide it by the "Percent", which we are told is 30.

So, 4000 divided by 30 = 133.333

And that means that the total number of marbles is 133.333.

Question: A high school marching band has 40 flute players, If 30 percent of the band members play the flute, then how many members are in the band?

Answer: There are 133.333 members in the band.

How To: The smaller "Part" in this problem is 40 since there are 40 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.

40 × 100 = 4000

For step two, we divide that 4000 by the "Percent", which is 30.

4000 divided by 30 equals 133.333

That means that the total number of band members is 133.333.

## Have time and want to learn the calculation?

Let's assume the unknown value is Y

First writing it as: 100% / Y = 30% / 40

Drop the percentage marks to simplify your calculations: 100 / Y = 30 / 40

Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 30 / 40 ) Y

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

Dividing both sides of the equation by 30, we will arrive at 133.333 = Y

This leaves us with our final answer: 40 is 30 percent of 133.333

## Percentage Table

 40 is 30 percent of 133.333 40.01 is 30 percent of 133.367 40.02 is 30 percent of 133.4 40.03 is 30 percent of 133.433 40.04 is 30 percent of 133.467 40.05 is 30 percent of 133.5 40.06 is 30 percent of 133.533 40.07 is 30 percent of 133.567 40.08 is 30 percent of 133.6 40.09 is 30 percent of 133.633 40.1 is 30 percent of 133.667 40.11 is 30 percent of 133.7 40.12 is 30 percent of 133.733 40.13 is 30 percent of 133.767 40.14 is 30 percent of 133.8 40.15 is 30 percent of 133.833 40.16 is 30 percent of 133.867 40.17 is 30 percent of 133.9 40.18 is 30 percent of 133.933 40.19 is 30 percent of 133.967
 40.2 is 30 percent of 134 40.21 is 30 percent of 134.033 40.22 is 30 percent of 134.067 40.23 is 30 percent of 134.1 40.24 is 30 percent of 134.133 40.25 is 30 percent of 134.167 40.26 is 30 percent of 134.2 40.27 is 30 percent of 134.233 40.28 is 30 percent of 134.267 40.29 is 30 percent of 134.3 40.3 is 30 percent of 134.333 40.31 is 30 percent of 134.367 40.32 is 30 percent of 134.4 40.33 is 30 percent of 134.433 40.34 is 30 percent of 134.467 40.35 is 30 percent of 134.5 40.36 is 30 percent of 134.533 40.37 is 30 percent of 134.567 40.38 is 30 percent of 134.6 40.39 is 30 percent of 134.633
 40.4 is 30 percent of 134.667 40.41 is 30 percent of 134.7 40.42 is 30 percent of 134.733 40.43 is 30 percent of 134.767 40.44 is 30 percent of 134.8 40.45 is 30 percent of 134.833 40.46 is 30 percent of 134.867 40.47 is 30 percent of 134.9 40.48 is 30 percent of 134.933 40.49 is 30 percent of 134.967 40.5 is 30 percent of 135 40.51 is 30 percent of 135.033 40.52 is 30 percent of 135.067 40.53 is 30 percent of 135.1 40.54 is 30 percent of 135.133 40.55 is 30 percent of 135.167 40.56 is 30 percent of 135.2 40.57 is 30 percent of 135.233 40.58 is 30 percent of 135.267 40.59 is 30 percent of 135.3
 40.6 is 30 percent of 135.333 40.61 is 30 percent of 135.367 40.62 is 30 percent of 135.4 40.63 is 30 percent of 135.433 40.64 is 30 percent of 135.467 40.65 is 30 percent of 135.5 40.66 is 30 percent of 135.533 40.67 is 30 percent of 135.567 40.68 is 30 percent of 135.6 40.69 is 30 percent of 135.633 40.7 is 30 percent of 135.667 40.71 is 30 percent of 135.7 40.72 is 30 percent of 135.733 40.73 is 30 percent of 135.767 40.74 is 30 percent of 135.8 40.75 is 30 percent of 135.833 40.76 is 30 percent of 135.867 40.77 is 30 percent of 135.9 40.78 is 30 percent of 135.933 40.79 is 30 percent of 135.967
 40.8 is 30 percent of 136 40.81 is 30 percent of 136.033 40.82 is 30 percent of 136.067 40.83 is 30 percent of 136.1 40.84 is 30 percent of 136.133 40.85 is 30 percent of 136.167 40.86 is 30 percent of 136.2 40.87 is 30 percent of 136.233 40.88 is 30 percent of 136.267 40.89 is 30 percent of 136.3 40.9 is 30 percent of 136.333 40.91 is 30 percent of 136.367 40.92 is 30 percent of 136.4 40.93 is 30 percent of 136.433 40.94 is 30 percent of 136.467 40.95 is 30 percent of 136.5 40.96 is 30 percent of 136.533 40.97 is 30 percent of 136.567 40.98 is 30 percent of 136.6 40.99 is 30 percent of 136.633