Step by action solution for calculating 3 is 20 percent of what number

We already have our very first value 3 and the 2nd value 20. Let"s i think the unknown worth is Y i m sorry answer we will uncover out.

You are watching: 3 is what percent of 20

As we have all the required values we need, currently we have the right to put castle in a straightforward mathematical formula together below:

STEP 13 = 20% × Y

STEP 23 = 20/100× Y

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

STEP 3Y = 3 × 100/20

STEP 4Y = 3 × 100 ÷ 20

STEP 5Y = 15

Finally, us have discovered the value of Y which is 15 and that is our answer.

You can quickly calculate 3 is 20 percent the what number by using any kind of regular calculator, simply get in 3 × 100 ÷ 20 and also you will obtain your answer i beg your pardon is 15

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Sample questions, answers, and how to

Question: your friend has a bag the marbles, and also he speak you that 20 percent that the marbles room red. If there room 3 red marbles. How plenty of marbles does he have altogether?

Answer: 15 marbles.

How To: In this problem, we know that the Percent is 20, and also we are also told the the part of the marbles is red, for this reason we understand that the component is 3.

So, that means that it should be the full that"s missing. Here is the means to number out what the full is:

Part/Total = Percent/100

By using a basic algebra we deserve to re-arrange our Percent equation like this:

Part × 100/Percent = Total

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

Let"s try it the end on our problem about the marbles, that"s very basic and it"s just two steps! We recognize that the "Part" (red marbles) is 3.

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

3 × 100 = 300

In action two, we take the 300 and divide that by the "Percent", i m sorry we space told is 20.

So, 300 divided by 20 = 15

And that means that the total number of marbles is 15.

Question: A high school marching band has actually 3 flute players, If 20 percent that the band members pat the flute, then how countless members are in the band?

Answer: There are 15 members in the band.

How To: The smaller "Part" in this trouble is 3 since there room 3 flute players and we room told that they make up 20 percent the the band, so 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 together the previous problem.

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

3 × 100 = 300

For action two, we division that 300 through the "Percent", which is 20.

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300 split by 20 equals 15

That means that the total number of band members is 15.

Another step by action method

Let"s i think the unknown worth is Y

First writing it as: 100% / Y = 20% / 3

Drop the percentage marks to leveling your calculations: 100 / Y = 20 / 3

Multiply both political parties by Y to relocate Y on the right side of the equation: 100 = ( 20 / 3 ) Y