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

We currently have our first value 40 and the 2nd value 20. Let"s i think the unknown worth is Y i beg your pardon answer us will find out.

You are watching: 40 is 20 percent of what number

As we have actually all the compelled values us need, currently we deserve to put castle in a basic mathematical formula as below:

STEP 1 40 = 20% × Y

STEP 2 40 = 20/100× Y

Multiplying both sides by 100 and dividing both political parties 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 also that is our answer.

You can easily calculate 40 is 20 percent that what number through using any kind of regular calculator, simply go into 40 × 100 ÷ 20 and you will gain your answer i beg your pardon is 200

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## Sample questions, answers, and how to

Question: her friend has actually a bag of marbles, and also he speak you the 20 percent of the marbles room red. If there space 40 red marbles. How plenty of marbles walk he have altogether?

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

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

Part/Total = Percent/100

By using a basic algebra we can re-arrange our Percent equation like this:

Part × 100/Percent = Total

If we take the "Part" and multiply that by 100, and also then we division that through the "Percent", we will acquire the "Total".

Let"s try it out on our problem around the marbles, that"s very an easy and it"s just two steps! We understand that the "Part" (red marbles) is 40.

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

40 × 100 = 4000

In step two, us take the 4000 and also divide that by the "Percent", i beg your pardon we room told is 20.

So, 4000 separated by 20 = 200

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

Question: A high school marching band has actually 40 flute players, If 20 percent the the band members beat the flute, climate how countless members room in the band?

Answer: There space 200 members in the band.

How To: The smaller "Part" in this trouble is 40 since there are 40 flute players and also we room told the they comprise 20 percent of the band, for this reason the "Percent" is 20.

Again, it"s the "Total" that"s missing here, and also to uncover it, we simply need to monitor our 2 action procedure as the ahead problem.

For step one, us multiply the "Part" by 100.

40 × 100 = 4000

For action two, we division that 4000 by the "Percent", which is 20.

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4000 split by 20 equates to 200

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

## Have time and want to discover the calculation?

Let"s assume the unknown worth is Y

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

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

Multiply both political parties by Y to relocate Y ~ above the best side that the equation: 100 = ( 20 / 40 ) Y