Step by step solution for calculating 72 is 12 percent the what number

We currently have our very first value 72 and also the second value 12. Let"s i think the unknown value is Y i beg your pardon answer us will find out.

You are watching: 12 of 72 is what number

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

STEP 172 = 12% × Y

STEP 272 = 12/100× Y

Multiplying both political parties by 100 and also dividing both sides of the equation through 12 we will arrive at:

STEP 3Y = 72 × 100/12

STEP 4Y = 72 × 100 ÷ 12

STEP 5Y = 600

Finally, us have discovered the worth of Y which is 600 and that is our answer.

You can conveniently calculate 72 is 12 percent the what number through using any type of regular calculator, simply go into 72 × 100 ÷ 12 and you will gain your answer i beg your pardon is 600

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Sample questions, answers, and also how to

Question: her friend has actually a bag of marbles, and he tells you that 12 percent of the marbles space red. If there space 72 red marbles. How countless marbles does he have altogether?

Answer: 600 marbles.

How To: In this problem, we recognize that the Percent is 12, and also we are also told that the component of the marbles is red, so we recognize that the part is 72.

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

Part/Total = Percent/100

By utilizing a an easy algebra we deserve to re-arrange ours Percent equation choose this:

Part × 100/Percent = Total

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

Let"s shot it out on our problem around the marbles, that"s very basic and it"s simply two steps! We recognize that the "Part" (red marbles) is 72.

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

72 × 100 = 7200

In step two, we take the 7200 and also divide that by the "Percent", i beg your pardon we space told is 12.

So, 7200 separated by 12 = 600

And that way that the total variety of marbles is 600.

Question: A high school marching band has 72 flute players, If 12 percent of the tape members pat the flute, then how many members are in the band?

Answer: There space 600 members in the band.

How To: The smaller sized "Part" in this problem is 72 since there space 72 flute players and also we are told that they consist of 12 percent the the band, for this reason the "Percent" is 12.

Again, it"s the "Total" that"s missing here, and also to find it, we just need to monitor our 2 action procedure as the vault problem.

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

72 × 100 = 7200

For action two, we division that 7200 through the "Percent", which is 12.

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7200 separated by 12 amounts to 600

That way that the total variety of band members is 600.

Another step by step method

Let"s i think the unknown worth is Y

First creating it as: 100% / Y = 12% / 72

Drop the percent marks to leveling your calculations: 100 / Y = 12 / 72

Multiply both political parties by Y to move Y on the appropriate side the the equation: 100 = ( 12 / 72 ) Y