Step by step solution because that calculating 14 is 10 percent of what number

We already have our an initial value 14 and the second value 10. Let"s i think the unknown worth is Y i m sorry answer we will uncover out.

You are watching: 10 percent of what number is 14

As we have all the forced values us need, currently we can put castle in a basic mathematical formula together below:

STEP 114 = 10% × Y

STEP 214 = 10/100× Y

Multiplying both political parties by 100 and dividing both sides of the equation by 10 we will certainly arrive at:

STEP 3Y = 14 × 100/10

STEP 4Y = 14 × 100 ÷ 10

STEP 5Y = 140

Finally, us have uncovered the worth of Y i m sorry is 140 and that is our answer.

You can conveniently calculate 14 is 10 percent that what number by using any regular calculator, simply go into 14 × 100 ÷ 10 and you will obtain your answer i beg your pardon is 140


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Sample questions, answers, and how to

Question: her friend has actually a bag of marbles, and he speak you that 10 percent that the marbles are red. If there space 14 red marbles. How numerous marbles does he have actually altogether?

Answer: 140 marbles.

How To: In this problem, we recognize that the Percent is 10, and we are additionally told that the component of the marbles is red, so we recognize that the part is 14.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

If us take the "Part" and also multiply that by 100, and also then we division that through the "Percent", us will obtain 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 understand that the "Part" (red marbles) is 14.

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

14 × 100 = 1400

In action two, we take that 1400 and divide it by the "Percent", which we room told is 10.

So, 1400 divided by 10 = 140

And that way that the total variety of marbles is 140.

Question: A high school marching band has actually 14 flute players, If 10 percent of the band members play the flute, climate how many members room in the band?

Answer: There room 140 members in the band.

How To: The smaller sized "Part" in this trouble is 14 because there space 14 flute players and also we are told that they make up 10 percent that the band, for this reason the "Percent" is 10.

Again, it"s the "Total" that"s lacking here, and to find it, we just need to monitor our 2 step procedure together the ahead problem.

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

14 × 100 = 1400

For step two, we division that 1400 by the "Percent", i beg your pardon is 10.

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1400 separated by 10 amounts to 140

That means that the total variety of band members is 140.

Another step by step method

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

Step 2: an initial writing the as: 100% / Y = 10% / 14

Step 3: autumn the percentage marks to simplify your calculations: 100 / Y = 10 / 14

Step 4: main point both sides by Y to move Y ~ above the ideal side of the equation: 100 = ( 10 / 14 ) Y

Step 5: simple the appropriate side, us get: 100 = 10 Y

Step 6: separating both political parties of the equation through 10, we will certainly arrive in ~ 140 = Y

This leaves us with our final answer: 14 is 10 percent of 140


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