## Step by action solution because that calculating 72 is 12 percent of what number

We currently have our very first value **72** and also the 2nd value **12**. Let"s i think the unknown value is **Y** which answer us will discover out.

You are watching: 12 of 72 is what number

As we have actually all the forced values we need, currently we deserve to put them in a simple mathematical formula as below:

STEP 172 = 12% × Y

STEP 272 = 12/100× Y

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

STEP 3Y = 72 × 100/12

STEP 4Y = 72 × 100 ÷ 12

STEP 5Y = 600

Finally, us have uncovered the value of Y i beg your pardon is 600 and also that is ours answer.

You can conveniently calculate **72 is 12 percent the what number** through using any kind of regular calculator, simply go into **72 × 100 ÷ 12** and also you will obtain your answer i m sorry is **600**

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## Sample questions, answers, and how to

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

**Answer:** 600 marbles.

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

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s try it out on our problem about the marbles, that"s very simple and it"s just two steps! We understand 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 it by the "Percent", i m sorry we are told is 12.

So, 7200 split by 12 = 600

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

**Question:** A high school marching band has 72 flute players, If 12 percent that the band members play the flute, climate how countless members space in the band?

**Answer:** There room 600 members in the band.

**How To:** The smaller "Part" in this trouble is 72 due to the fact that there space 72 flute players and we space told that they comprise 12 percent the the band, therefore 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 step procedure together the ahead problem.

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

72 × 100 = 7200

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

See more: Solved What Major Event Led To European Colonialism In Southwest Asia? ?

7200 split by 12 amounts to 600

That means that the total number of band members is 600.

## Another step by step method

**Step 1:** Let"s assume the unknown value is **Y**

**Step 2:** first writing that as: **100% / Y = 12% / 72**

**Step 3:** fall the percent marks to leveling your calculations: **100 / Y = 12 / 72**

**Step 4:** multiply both sides by Y to move Y top top the best side of the equation: **100 = ( 12 / 72 ) Y**

**Step 5:** simple the right side, we get: **100 = 12 Y**

**Step 6:** splitting both sides of the equation through 12, we will certainly arrive in ~ **600 = Y**

This pipeline us v our final answer: **72 is 12 percent of 600**

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