## Step by step solution because that calculating 36 is 40 percent that what number

We already have our an initial value 36 and also the second value 40. Let"s i think the unknown value is Y i m sorry answer we will discover out.

You are watching: 36 is 40 of what number

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

STEP 1 36 = 40% × Y

STEP 2 36 = 40/100× Y

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

STEP 3 Y = 36 × 100/40

STEP 4 Y = 36 × 100 ÷ 40

STEP 5 Y = 90

Finally, us have found the worth of Y which is 90 and also that is our answer.

You can quickly calculate 36 is 40 percent that what number by using any kind of regular calculator, simply go into 36 × 100 ÷ 40 and also you will get your answer which is 90

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## Sample questions, answers, and also how to

Question: your friend has a bag the marbles, and he speak you the 40 percent that the marbles room red. If there space 36 red marbles. How plenty of marbles walk he have altogether?

How To: In this problem, we know that the Percent is 40, and we are additionally told that the component of the marbles is red, so we know that the component is 36.

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

Part/Total = Percent/100

By making use of a an easy algebra we can re-arrange our Percent equation like this:

Part × 100/Percent = Total

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

Let"s shot it out on our problem around the marbles, that"s very simple and it"s simply two steps! We recognize that the "Part" (red marbles) is 36.

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

36 × 100 = 3600

In step two, we take that 3600 and divide the by the "Percent", i beg your pardon we space told is 40.

So, 3600 separated by 40 = 90

And that way that the total number of marbles is 90.

Question: A high school marching band has actually 36 flute players, If 40 percent that the tape members beat the flute, climate how plenty of members space in the band?

Answer: There space 90 members in the band.

How To: The smaller "Part" in this trouble is 36 because there space 36 flute players and we are told that they comprise 40 percent of the band, for this reason the "Percent" is 40.

Again, it"s the "Total" that"s missing here, and to uncover it, we just need to monitor our 2 step procedure together the ahead problem.

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

36 × 100 = 3600

For action two, we divide that 3600 through the "Percent", which is 40.

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3600 separated by 40 amounts to 90

That means that the total variety of band members is 90.

## Have time and want to find out the calculation?

Let"s assume the unknown worth is Y

First composing it as: 100% / Y = 40% / 36

Drop the percent marks to leveling your calculations: 100 / Y = 40 / 36

Multiply both political parties by Y to move Y ~ above the best side the the equation: 100 = ( 40 / 36 ) Y