## Step by action solution because that calculating 3 is 30 percent the what number

We currently have our an initial value **3** and the 2nd value **30**. Let"s i think the unknown worth is **Y** i m sorry answer we will uncover out.

You are watching: What is 3 percent of 30

As we have all the required values us need, currently we deserve to put lock in a simple mathematical formula as below:

STEP 13 = 30% × Y

STEP 23 = 30/100× Y

Multiplying both political parties by 100 and dividing both political parties of the equation through 30 we will arrive at:

STEP 3Y = 3 × 100/30

STEP 4Y = 3 × 100 ÷ 30

STEP 5Y = 10

Finally, us have discovered the value of Y i m sorry is 10 and also that is our answer.

You can conveniently calculate **3 is 30 percent that what number** by using any type of regular calculator, simply get in **3 × 100 ÷ 30** and you will get your answer i beg your pardon is **10**

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## Sample questions, answers, and also how to

**Question:** her friend has actually a bag of marbles, and he speak you that 30 percent that the marbles are red. If there room 3 red marbles. How many marbles go he have actually altogether?

**Answer:** 10 marbles.

**How To:** In this problem, we understand that the Percent is 30, and also we are likewise told that the component of the marbles is red, for this reason we recognize that the component is 3.

So, that way that it need to be the complete that"s missing. Below is the means to number out what the complete is:

Part/Total = Percent/100

By using a simple 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 it by 100, and then we division that by the "Percent", us will get the "Total".

Let"s shot it the end on our problem around the marbles, that"s very basic and it"s just two steps! We know that the "Part" (red marbles) is 3.

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

3 × 100 = 300

In step two, us take that 300 and also divide it by the "Percent", i m sorry we room told is 30.

So, 300 split by 30 = 10

And that method that the total number of marbles is 10.

**Question:** A high institution marching band has actually 3 flute players, If 30 percent the the band members pat the flute, then how countless members room in the band?

**Answer:** There space 10 members in the band.

**How To:** The smaller sized "Part" in this difficulty is 3 because there are 3 flute players and also we space told the they consist of 30 percent the the band, therefore the "Percent" is 30.

Again, it"s the "Total" that"s lacking here, and also to find it, we just need to follow our 2 action procedure as the previous problem.

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

3 × 100 = 300

For step two, we divide that 300 through the "Percent", i beg your pardon is 30.

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300 split by 30 amounts to 10

That method that the total variety of band members is 10.

## Another step by action method

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

**Step 2:** first writing it as: **100% / Y = 30% / 3**

**Step 3:** fall the percent marks to leveling your calculations: **100 / Y = 30 / 3**

**Step 4:** main point both sides by Y to relocate Y on the appropriate side the the equation: **100 = ( 30 / 3 ) Y**

**Step 5:** simple the right side, we get: **100 = 30 Y**

**Step 6:** separating both sides of the equation by 30, we will certainly arrive in ~ **10 = Y**

This pipeline us v our last answer: **3 is 30 percent of 10**

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