## Step by step solution for calculating 12 is 15 percent the what number

We currently have our an initial value **12** and the second value **15**. Let"s assume the unknown worth is **Y** i m sorry answer us will discover out.

You are watching: 12 is 15 of what number

As we have all the forced values we need, now we have the right to put lock in a basic 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 through 15 we will certainly arrive at:

STEP 3Y = 12 × 100/15

STEP 4Y = 12 × 100 ÷ 15

STEP 5Y = 80

Finally, us have found the value of Y which is 80 and that is ours answer.

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

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## Sample questions, answers, and how to

**Question:** her friend has actually a bag that marbles, and also he speak you the 15 percent the the marbles room red. If there space 12 red marbles. How many marbles does he have altogether?

**Answer:** 80 marbles.

**How To:** In this problem, we know that the Percent is 15, and we are also told that the component of the marbles is red, so we know that the component is 12.

So, that way that it must be the total that"s missing. Right here is the means to number out what the complete is:

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s try it the end on our problem about the marbles, that"s very straightforward and it"s just two steps! We know that the "Part" (red marbles) is 12.

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

12 × 100 = 1200

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

So, 1200 separated by 15 = 80

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

**Question:** A high school marching band has 12 flute players, If 15 percent of the band members pat the flute, climate how countless 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 space 12 flute players and we room told that they consist of 15 percent of the band, for this reason the "Percent" is 15.

Again, it"s the "Total" that"s absent here, and to discover it, we simply need to follow our 2 step procedure together the vault problem.

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

12 × 100 = 1200

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

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1200 separated by 15 equals 80

That way that the total variety of band members is 80.

## Another step by step method

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

**Step 2:** very first writing the as: **100% / Y = 15% / 12**

**Step 3:** drop the portion marks to leveling your calculations: **100 / Y = 15 / 12**

**Step 4:** main point both political parties by Y to relocate Y ~ above the ideal side the the equation: **100 = ( 15 / 12 ) Y**

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

**Step 6:** separating both political parties of the equation by 15, we will arrive at **80 = Y**

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

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