Step by step solution for calculating 12 is 60 percent of what number

We already have our an initial value 12 and also the 2nd value 60. Let"s assume the unknown worth is Y i m sorry answer we will discover out.

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As we have all the compelled values us need, now we deserve to put them in a straightforward mathematical formula together below:

STEP 1 12 = 60% × Y

STEP 2 12 = 60/100× Y

Multiplying both sides by 100 and also dividing both sides of the equation by 60 we will arrive at:

STEP 3 Y = 12 × 100/60

STEP 4 Y = 12 × 100 ÷ 60

STEP 5 Y = 20

Finally, we have uncovered the worth of Y i m sorry is 20 and that is our answer.

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

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Sample questions, answers, and also how to

Question: your friend has a bag that marbles, and he tells you that 60 percent the the marbles room red. If there are 12 red marbles. How numerous marbles go he have actually altogether?

Answer: 20 marbles.

How To: In this problem, we recognize that the Percent is 60, and we are also told the the part of the marbles is red, for this reason we know that the component is 12.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

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

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

12 × 100 = 1200

In step two, we take that 1200 and divide that by the "Percent", i m sorry we space told is 60.

So, 1200 separated by 60 = 20

And that method that the total variety of marbles is 20.

Question: A high college marching band has actually 12 flute players, If 60 percent that the band members pat the flute, climate how numerous members room in the band?

Answer: There room 20 members in the band.

How To: The smaller "Part" in this difficulty is 12 because there are 12 flute players and we are told the they consist of 60 percent of the band, so the "Percent" is 60.

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

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

12 × 100 = 1200

For action two, we divide that 1200 through the "Percent", i beg your pardon is 60.

See more: Area Codes 718, 347 And 929, Area Codes 718, 347, And 929

1200 split by 60 equals 20

That means that the total variety of band members is 20.

Have time and want to discover the calculation?

Let"s assume the unknown value is Y

First writing it as: 100% / Y = 60% / 12

Drop the percentage marks to simplify your calculations: 100 / Y = 60 / 12

Multiply both sides by Y to move Y ~ above the best side that the equation: 100 = ( 60 / 12 ) Y