## Step by action solution because that calculating 120 is 12 percent of what number

We currently have our an initial value **120** and also the 2nd value **12**. Let"s assume the unknown worth is **Y** which answer we will discover out.

You are watching: 12 of 120 is what number

As we have all the forced values we need, currently we have the right to put castle in a straightforward mathematical formula as below:

STEP 1120 = 12% × Y

STEP 2120 = 12/100× Y

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

STEP 3Y = 120 × 100/12

STEP 4Y = 120 × 100 ÷ 12

STEP 5Y = 1000

Finally, us have discovered the value of Y i beg your pardon is 1000 and also that is ours answer.

You can conveniently calculate **120 is 12 percent that what number** through using any kind of regular calculator, simply get in **120 × 100 ÷ 12** and also you will acquire your answer i beg your pardon is **1000**

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## Sample questions, answers, and how to

**Question:** her friend has actually a bag the marbles, and also he speak you the 12 percent of the marbles room red. If there are 120 red marbles. How numerous marbles walk he have altogether?

**Answer:** 1000 marbles.

**How To:** In this problem, we recognize that the Percent is 12, and we are also told the the component of the marbles is red, therefore we recognize that the part is 120.

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

Part/Total = Percent/100

By making use of a basic algebra we can re-arrange our Percent equation choose this:

Part × 100/Percent = Total

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

Let"s shot it out on ours problem about the marbles, that"s very basic and it"s just two steps! We know that the "Part" (red marbles) is 120.

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

120 × 100 = 12000

In action two, we take the 12000 and divide that by the "Percent", i m sorry we space told is 12.

So, 12000 split by 12 = 1000

And that way that the total variety of marbles is 1000.

**Question:** A high college marching band has 120 flute players, If 12 percent the the tape members beat the flute, climate how many members are in the band?

**Answer:** There are 1000 members in the band.

**How To:** The smaller "Part" in this trouble is 120 due to the fact that there room 120 flute players and also we are told that they comprise 12 percent of the band, so the "Percent" is 12.

Again, it"s the "Total" that"s absent here, and to uncover it, we simply need to follow our 2 action procedure together the ahead problem.

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

120 × 100 = 12000

For action two, we division that 12000 through the "Percent", i beg your pardon is 12.

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12000 split by 12 amounts to 1000

That means that the total variety of band members is 1000.

## Another action by action method

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

**Step 2:** an initial writing it as: **100% / Y = 12% / 120**

**Step 3:** autumn the portion marks to leveling your calculations: **100 / Y = 12 / 120**

**Step 4:** main point both political parties by Y to relocate Y ~ above the right side of the equation: **100 = ( 12 / 120 ) Y**

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

**Step 6:** dividing both sides of the equation by 12, we will certainly arrive in ~ **1000 = Y**

This pipeline us with our last answer: **120 is 12 percent the 1000**

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