## Step by step solution because that calculating 14 is 30 percent the what number

We currently have our first value **14** and also the 2nd value **30**. Let"s assume the unknown value is **Y** which answer we will uncover out.

You are watching: 14 is 30 percent of what number

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

STEP 114 = 30% × Y

STEP 214 = 30/100× Y

Multiplying both sides by 100 and also dividing both sides of the equation by 30 we will arrive at:

STEP 3Y = 14 × 100/30

STEP 4Y = 14 × 100 ÷ 30

STEP 5Y = 46.667

Finally, us have found the worth of Y i beg your pardon is 46.667 and also that is our answer.

You can quickly calculate **14 is 30 percent of what number** by using any kind of regular calculator, simply get in **14 × 100 ÷ 30** and also you will gain your answer i beg your pardon is **46.667**

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## Sample questions, answers, and how to

**Question:** her friend has a bag that marbles, and he speak you that 30 percent that the marbles space red. If there are 14 red marbles. How numerous marbles go he have altogether?

**Answer:** 46.667 marbles.

**How To:** In this problem, we know that the Percent is 30, and also we are likewise told that the part of the marbles is red, for this reason we recognize that the part is 14.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s shot it out on ours problem around the marbles, that"s very straightforward and it"s just two steps! We know that the "Part" (red marbles) is 14.

So action one is to simply multiply that component by 100.

14 × 100 = 1400

In action two, we take the 1400 and also divide that by the "Percent", i m sorry we space told is 30.

So, 1400 divided by 30 = 46.667

And that means that the total variety of marbles is 46.667.

**Question:** A high college marching band has 14 flute players, If 30 percent the the band members pat the flute, climate how countless members are in the band?

**Answer:** There are 46.667 members in the band.

**How To:** The smaller sized "Part" in this difficulty is 14 since there room 14 flute players and also we room told the they comprise 30 percent that the band, so the "Percent" is 30.

Again, it"s the "Total" that"s absent here, and to discover it, we just need to follow our 2 action procedure as the vault problem.

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

14 × 100 = 1400

For step two, we divide that 1400 by the "Percent", which is 30.

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1400 divided by 30 equals 46.667

That way that the total variety of band members is 46.667.

## Another action by step method

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

**Step 2:** first writing that as: **100% / Y = 30% / 14**

**Step 3:** drop the percent marks to simplify your calculations: **100 / Y = 30 / 14**

**Step 4:** main point both sides by Y to move Y ~ above the appropriate side that the equation: **100 = ( 30 / 14 ) Y**

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

**Step 6:** separating both sides of the equation by 30, we will arrive in ~ **46.667 = Y**

This leaves us v our final answer: **14 is 30 percent that 46.667**

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