Step by action solution because that calculating 14 is 30 percent of what number

We currently have our very first value 14 and the 2nd value 30. Let"s i think the unknown value is Y i beg your pardon answer we will find out.

You are watching: 14 is 30 of what number

As we have all the required values us need, now we can put castle in a simple mathematical formula together below:

STEP 114 = 30% × Y

STEP 214 = 30/100× Y

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

STEP 3Y = 14 × 100/30

STEP 4Y = 14 × 100 ÷ 30

STEP 5Y = 46.667

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

You can easily calculate 14 is 30 percent the what number by using any regular calculator, simply enter 14 × 100 ÷ 30 and you will get your answer i m sorry is 46.667


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Sample questions, answers, and how to

Question: your friend has actually a bag the marbles, and he speak you that 30 percent the the marbles space red. If there room 14 red marbles. How many marbles does he have altogether?

Answer: 46.667 marbles.

How To: In this problem, we recognize that the Percent is 30, and we are likewise told the the component of the marbles is red, therefore we understand that the component is 14.

So, that means that it have to be the full that"s missing. Right here is the means to figure out what the complete is:

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s try it out on our problem about the marbles, that"s very an easy and it"s simply two steps! We know that the "Part" (red marbles) is 14.

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

14 × 100 = 1400

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

So, 1400 separated by 30 = 46.667

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

Question: A high institution marching band has actually 14 flute players, If 30 percent of the tape members play the flute, climate how many members space in the band?

Answer: There space 46.667 members in the band.

How To: The smaller "Part" in this problem is 14 due to the fact that there are 14 flute players and we space told the they make up 30 percent the the band, so the "Percent" is 30.

Again, it"s the "Total" that"s lacking here, and to uncover it, we simply need to follow our 2 step procedure as the ahead problem.

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

14 × 100 = 1400

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

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1400 split by 30 amounts to 46.667

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

Another step by action method

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

Step 2: very first writing the as: 100% / Y = 30% / 14

Step 3: fall the percentage marks to leveling your calculations: 100 / Y = 30 / 14

Step 4: main point both sides by Y to move Y top top the ideal side the the equation: 100 = ( 30 / 14 ) Y

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

Step 6: dividing both political parties of the equation through 30, we will arrive at 46.667 = Y

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


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