Step by step solution because that calculating 12 is 30 percent the what number

We currently have our an initial value 12 and the second value 30. Let"s assume the unknown value is Y which answer us will uncover out.

You are watching: What is 30% of 12

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

STEP 112 = 30% × Y

STEP 212 = 30/100× Y

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

STEP 3Y = 12 × 100/30

STEP 4Y = 12 × 100 ÷ 30

STEP 5Y = 40

Finally, us have discovered the worth of Y i beg your pardon is 40 and that is our answer.

You can conveniently calculate 12 is 30 percent of what number by using any regular calculator, simply enter 12 × 100 ÷ 30 and you will obtain your answer i beg your pardon is 40


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Sample questions, answers, and how to

Question: your friend has a bag of marbles, and he tells you the 30 percent that the marbles room red. If there are 12 red marbles. How numerous marbles go he have altogether?

Answer: 40 marbles.

How To: In this problem, we recognize that the Percent is 30, and also we are also told that the part of the marbles is red, for this reason we know that the component is 12.

So, that means that it must be the full that"s missing. Below is the means to number out what the complete is:

Part/Total = Percent/100

By utilizing a straightforward algebra we deserve to re-arrange our Percent equation favor 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 get the "Total".

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

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

12 × 100 = 1200

In action two, we take that 1200 and also divide that by the "Percent", i beg your pardon we are told is 30.

So, 1200 split by 30 = 40

And that way that the total variety of marbles is 40.

Question: A high college marching band has actually 12 flute players, If 30 percent that the tape members pat the flute, then how countless members room in the band?

Answer: There room 40 members in the band.

How To: The smaller sized "Part" in this difficulty is 12 since there room 12 flute players and we space told the they consist of 30 percent of the band, therefore the "Percent" is 30.

Again, it"s the "Total" that"s lacking here, and to discover it, we simply need to monitor our 2 action procedure as the vault problem.

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

12 × 100 = 1200

For step two, we divide that 1200 by the "Percent", i beg your pardon is 30.

See more: How Does Rontu Island Of The Blue Dolphins Character List, Rontu In Island Of The Blue Dolphins

1200 split by 30 amounts to 40

That means that the total number of band members is 40.

Another action by action method

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

Step 2: an initial writing it as: 100% / Y = 30% / 12

Step 3: drop the portion marks to simplify your calculations: 100 / Y = 30 / 12

Step 4: main point both political parties by Y to move Y top top the best side of the equation: 100 = ( 30 / 12 ) Y

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

Step 6: dividing both political parties of the equation by 30, we will certainly arrive at 40 = Y

This leaves us v our last answer: 12 is 30 percent the 40


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