Step by step solution for calculating 14 is 20 percent that what number

We already have our very first value 14 and the second value 20. Let"s i think the unknown value is Y which answer we will discover out.

You are watching: 14 is what percent of 20

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

STEP 114 = 20% × Y

STEP 214 = 20/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 20 we will certainly arrive at:

STEP 3Y = 14 × 100/20

STEP 4Y = 14 × 100 ÷ 20

STEP 5Y = 70

Finally, us have discovered the worth of Y i beg your pardon is 70 and that is our answer.

You can conveniently calculate 14 is 20 percent the what number by using any regular calculator, simply enter 14 × 100 ÷ 20 and you will gain your answer which is 70


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Sample questions, answers, and how to

Question: her friend has a bag that marbles, and also he speak you that 20 percent that the marbles space red. If there space 14 red marbles. How numerous marbles go he have altogether?

Answer: 70 marbles.

How To: In this problem, we know that the Percent is 20, and also we are additionally told that the component of the marbles is red, so we recognize that the part is 14.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s try it the end on our problem around the marbles, that"s very an easy and it"s just two steps! We recognize that the "Part" (red marbles) is 14.

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

14 × 100 = 1400

In step two, we take that 1400 and also divide that by the "Percent", i beg your pardon we room told is 20.

So, 1400 separated by 20 = 70

And that way that the total number of marbles is 70.

Question: A high school marching band has actually 14 flute players, If 20 percent the the band members pat the flute, then how countless members space in the band?

Answer: There space 70 members in the band.

How To: The smaller "Part" in this trouble is 14 due to the fact that there are 14 flute players and also we room told that they make up 20 percent that the band, for this reason the "Percent" is 20.

Again, it"s the "Total" that"s lacking here, and to find it, we just need to monitor 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 through the "Percent", which is 20.

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1400 separated by 20 amounts to 70

That method that the total variety of band members is 70.

Another action by step method

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

Step 2: very first writing the as: 100% / Y = 20% / 14

Step 3: drop the percentage marks to simplify your calculations: 100 / Y = 20 / 14

Step 4: main point both sides by Y to move Y on the ideal side of the equation: 100 = ( 20 / 14 ) Y

Step 5: simplifying the right side, we get: 100 = 20 Y

Step 6: dividing both sides of the equation by 20, we will arrive in ~ 70 = Y

This leaves us with our final answer: 14 is 20 percent of 70


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