## Step by step solution for calculating 40 is 20 percent of what number

We already have our first value 40 and the second value 20. Let"s assume the unknown value is Y which answer we will find out.

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As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1 40 = 20% × Y

STEP 2 40 = 20/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 20 we will arrive at:

STEP 3 Y = 40 × 100/20

STEP 4 Y = 40 × 100 ÷ 20

STEP 5 Y = 200

Finally, we have found the value of Y which is 200 and that is our answer.

You can easily calculate 40 is 20 percent of what number by using any regular calculator, simply enter 40 × 100 ÷ 20 and you will get your answer which is 200

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## Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 20 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 20, 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 20.

So, 4000 divided by 20 = 200

And that means that the total number of marbles is 200.

Question: A high school marching band has 40 flute players, If 20 percent of the band members play the flute, then how many members are in the band?

Answer: There are 200 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 20 percent of the band, so the "Percent" is 20.

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 20.

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4000 divided by 20 equals 200

That means that the total number of band members is 200.

## Have time and want to learn the calculation?

Let"s assume the unknown value is Y

First writing it as: 100% / Y = 20% / 40

Drop the percentage marks to simplify your calculations: 100 / Y = 20 / 40

Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 20 / 40 ) Y