Step by action solution because that calculating 20 is 40 percent the what number

We already have our very first value 20 and also the 2nd value 40. Let"s assume the unknown value is Y i m sorry answer we will uncover out.

You are watching: 20 is 40 of what number

As we have actually all the required values we need, currently we deserve to put them in a basic mathematical formula together below:

STEP 1 20 = 40% × Y

STEP 2 20 = 40/100× Y

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

STEP 3 Y = 20 × 100/40

STEP 4 Y = 20 × 100 ÷ 40

STEP 5 Y = 50

Finally, us have uncovered the value of Y which is 50 and also that is our answer.

You can quickly calculate 20 is 40 percent of what number through using any type of regular calculator, simply enter 20 × 100 ÷ 40 and you will get your answer which is 50

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Sample questions, answers, and also how to

Question: your friend has actually a bag of marbles, and also he tells you that 40 percent of the marbles room red. If there room 20 red marbles. How plenty of marbles go he have actually altogether?

Answer: 50 marbles.

How To: In this problem, we know that the Percent is 40, and also we are likewise told the the component of the marbles is red, so we understand that the component is 20.

So, that way that it have to be the full that"s missing. Right here is the way to number out what the complete is:

Part/Total = Percent/100

By making use of a simple algebra we have the right to re-arrange ours Percent equation like this:

Part × 100/Percent = Total

If us take the "Part" and multiply the by 100, and then we division that by the "Percent", we will obtain the "Total".

Let"s shot it out on our problem around the marbles, that"s very straightforward and it"s just two steps! We know that the "Part" (red marbles) is 20.

So action one is to simply multiply that component by 100.

20 × 100 = 2000

In action two, us take the 2000 and also divide that by the "Percent", i beg your pardon we are told is 40.

So, 2000 split by 40 = 50

And that means that the total variety of marbles is 50.

Question: A high college marching band has actually 20 flute players, If 40 percent that the band members play the flute, climate how many members are in the band?

Answer: There are 50 members in the band.

How To: The smaller sized "Part" in this trouble is 20 because there space 20 flute players and also we room told that they comprise 40 percent the the band, so the "Percent" is 40.

Again, it"s the "Total" that"s absent here, and also to discover it, we simply need to monitor our 2 step procedure together the ahead problem.

For step one, we multiply the "Part" through 100.

20 × 100 = 2000

For action two, we division that 2000 through the "Percent", i m sorry is 40.

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2000 separated by 40 equals 50

That means that the total variety of band members is 50.

Have time and also want to discover the calculation?

Let"s assume the unknown value is Y

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

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

Multiply both political parties by Y to move Y top top the appropriate side that the equation: 100 = ( 40 / 20 ) Y