Step by action solution because that calculating 12 is 20 percent of what number

We already have our an initial value 12 and also the 2nd value 20. Let"s i think the unknown value is Y i beg your pardon answer us will uncover out.

You are watching: 60 is 20 percent of what number

As we have all the required values we need, now we can put castle in a basic mathematical formula as below:

STEP 112 = 20% × Y

STEP 212 = 20/100× Y

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

STEP 3Y = 12 × 100/20

STEP 4Y = 12 × 100 ÷ 20

STEP 5Y = 60

Finally, we have found the value of Y i m sorry is 60 and that is our answer.

You can quickly calculate 12 is 20 percent that what number by using any kind of regular calculator, simply enter 12 × 100 ÷ 20 and also you will get your answer which is 60


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Sample questions, answers, and how to

Question: your friend has a bag of marbles, and also he speak you that 20 percent the the marbles are red. If there are 12 red marbles. How countless marbles does he have actually altogether?

Answer: 60 marbles.

How To: In this problem, we know that the Percent is 20, and we are additionally told that the component of the marbles is red, so we understand that the component is 12.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s shot it the end on ours problem around the marbles, that"s very simple and it"s simply two steps! We recognize that the "Part" (red marbles) is 12.

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

12 × 100 = 1200

In action two, us take that 1200 and divide that by the "Percent", i m sorry we space told is 20.

So, 1200 separated by 20 = 60

And that way that the total number of marbles is 60.

Question: A high college marching band has 12 flute players, If 20 percent the the band members beat the flute, climate how numerous members space in the band?

Answer: There are 60 members in the band.

How To: The smaller "Part" in this difficulty is 12 because there space 12 flute players and also we space told that they comprise 20 percent of the band, for this reason the "Percent" is 20.

Again, it"s the "Total" that"s absent here, and to uncover it, we simply need to monitor our 2 action procedure together the previous problem.

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

12 × 100 = 1200

For step two, we divide that 1200 by the "Percent", i beg your pardon is 20.

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1200 separated by 20 equates to 60

That way that the total variety of band members is 60.

Another step by action method

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

Step 2: first writing it as: 100% / Y = 20% / 12

Step 3: drop the percent marks to simplify your calculations: 100 / Y = 20 / 12

Step 4: multiply both political parties by Y to move Y top top the ideal side of the equation: 100 = ( 20 / 12 ) Y

Step 5: simple the ideal side, we get: 100 = 20 Y

Step 6: splitting both sides of the equation by 20, we will arrive at 60 = Y

This pipeline us v our last answer: 12 is 20 percent of 60


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