## Step by step solution because that calculating 12 is 15 percent of what number

We already have our first value **12** and also the 2nd value **15**. Let"s assume the unknown worth is **Y** i m sorry answer us will uncover out.

You are watching: 15 of what number is 12

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

STEP 112 = 15% × Y

STEP 212 = 15/100× Y

Multiplying both political parties by 100 and also dividing both sides of the equation by 15 we will arrive at:

STEP 3Y = 12 × 100/15

STEP 4Y = 12 × 100 ÷ 15

STEP 5Y = 80

Finally, us have uncovered the worth of Y i beg your pardon is 80 and that is our answer.

You can conveniently calculate **12 is 15 percent the what number** through using any type of regular calculator, simply go into **12 × 100 ÷ 15** and you will gain your answer i beg your pardon is **80**

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## Sample questions, answers, and also how to

**Question:** your friend has a bag of marbles, and also he speak you that 15 percent of the marbles room red. If there are 12 red marbles. How countless marbles does he have altogether?

**Answer:** 80 marbles.

**How To:** In this problem, we understand that the Percent is 15, and we are additionally told that the part of the marbles is red, for this reason we know that the component is 12.

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

Part/Total = Percent/100

By making use of a basic algebra we have the right to re-arrange our Percent equation prefer this:

Part × 100/Percent = Total

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

Let"s shot it the end on our problem around the marbles, that"s very an easy and it"s just two steps! We know that the "Part" (red marbles) is 12.

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

12 × 100 = 1200

In step two, us take the 1200 and divide the by the "Percent", which we are told is 15.

So, 1200 separated by 15 = 80

And that means that the total number of marbles is 80.

**Question:** A high college marching band has 12 flute players, If 15 percent the the band members beat the flute, climate how plenty of members space in the band?

**Answer:** There are 80 members in the band.

**How To:** The smaller "Part" in this problem is 12 because there room 12 flute players and we room told the they comprise 15 percent that the band, therefore the "Percent" is 15.

Again, it"s the "Total" that"s missing here, and to uncover it, we simply need to follow our 2 step procedure together the previous problem.

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

12 × 100 = 1200

For step two, we divide that 1200 by the "Percent", i beg your pardon is 15.

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1200 split by 15 equates to 80

That method that the total number of band members is 80.

## Another step by step method

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

**Step 2:** an initial writing that as: **100% / Y = 15% / 12**

**Step 3:** autumn the percent marks to simplify your calculations: **100 / Y = 15 / 12**

**Step 4:** multiply both political parties by Y to move Y top top the appropriate side that the equation: **100 = ( 15 / 12 ) Y**

**Step 5:** simplifying the best side, us get: **100 = 15 Y**

**Step 6:** dividing both political parties of the equation by 15, we will arrive in ~ **80 = Y**

This leaves us v our final answer: **12 is 15 percent the 80**

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