Step by action solution for calculating 16 is 40 percent that what number

We already have our first value 16 and also the 2nd value 40. Let"s i think the unknown worth is Y i beg your pardon answer us will uncover out.

You are watching: 16 is 40 of what number

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

STEP 116 = 40% × Y

STEP 216 = 40/100× Y

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

STEP 3Y = 16 × 100/40

STEP 4Y = 16 × 100 ÷ 40

STEP 5Y = 40

Finally, we have uncovered the value of Y i m sorry is 40 and also that is our answer.

You can conveniently calculate 16 is 40 percent the what number by using any type of regular calculator, simply get in 16 × 100 ÷ 40 and also you will get your answer i m sorry is 40

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Sample questions, answers, and how to

Question: your friend has actually a bag that marbles, and he tells you that 40 percent the the marbles are red. If there are 16 red marbles. How plenty of marbles walk he have actually altogether?

Answer: 40 marbles.

How To: In this problem, we understand that the Percent is 40, and also we are additionally told the the component of the marbles is red, therefore we know that the part is 16.

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

Part/Total = Percent/100

By making use of a simple algebra we deserve to re-arrange our Percent equation choose this:

Part × 100/Percent = Total

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

Let"s shot it out on ours problem around the marbles, that"s very simple and it"s simply two steps! We know that the "Part" (red marbles) is 16.

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

16 × 100 = 1600

In action two, us take the 1600 and also divide the by the "Percent", which we space told is 40.

So, 1600 separated by 40 = 40

And that way that the total number of marbles is 40.

Question: A high college marching band has 16 flute players, If 40 percent of the tape members play the flute, climate how countless members room in the band?

Answer: There are 40 members in the band.

How To: The smaller sized "Part" in this trouble is 16 since there room 16 flute players and we space told the they comprise 40 percent of the band, therefore the "Percent" is 40.

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

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

16 × 100 = 1600

For action two, we divide that 1600 through the "Percent", which is 40.

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1600 split by 40 amounts to 40

That method that the total variety of band members is 40.

Another action by action method

Let"s i think the unknown value is Y

First composing it as: 100% / Y = 40% / 16

Drop the percentage marks to simplify your calculations: 100 / Y = 40 / 16

Multiply both sides by Y to move Y ~ above the best side the the equation: 100 = ( 40 / 16 ) Y