## Step by step solution because that calculating 3 is 5 percent the what number

We currently have our first value 3 and also the 2nd value 5. Let"s assume the unknown worth is Y i m sorry answer us will uncover out.

You are watching: 3 is what percent of 5

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

STEP 13 = 5% × Y

STEP 23 = 5/100× Y

Multiplying both sides by 100 and also dividing both sides of the equation by 5 we will arrive at:

STEP 3Y = 3 × 100/5

STEP 4Y = 3 × 100 ÷ 5

STEP 5Y = 60

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

You can quickly calculate 3 is 5 percent that what number through using any regular calculator, simply enter 3 × 100 ÷ 5 and also you will gain your answer i beg your pardon is 60

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## Sample questions, answers, and also how to

Question: her friend has a bag of marbles, and also he speak you the 5 percent the the marbles space red. If there are 3 red marbles. How numerous marbles walk he have altogether?

Answer: 60 marbles.

How To: In this problem, we recognize that the Percent is 5, and also we are likewise told the the part of the marbles is red, for this reason we know that the component is 3.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

If we take the "Part" and also multiply that by 100, and then we divide that by the "Percent", we will obtain the "Total".

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

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

3 × 100 = 300

In action two, us take the 300 and also divide the by the "Percent", i beg your pardon we are told is 5.

So, 300 split by 5 = 60

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

Question: A high institution marching band has 3 flute players, If 5 percent of the band members pat the flute, climate how countless members room in the band?

Answer: There space 60 members in the band.

How To: The smaller sized "Part" in this problem is 3 because there room 3 flute players and we space told the they comprise 5 percent of the band, so the "Percent" is 5.

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

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

3 × 100 = 300

For step two, we divide that 300 by the "Percent", i m sorry is 5.

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300 separated by 5 amounts to 60

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

## Another action by step method

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

Step 2: first writing the as: 100% / Y = 5% / 3

Step 3: fall the portion marks to simplify your calculations: 100 / Y = 5 / 3

Step 4: multiply both sides by Y to relocate Y top top the ideal side of the equation: 100 = ( 5 / 3 ) Y

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

Step 6: separating both political parties of the equation by 5, we will arrive at 60 = Y

This leaves us v our final answer: 3 is 5 percent the 60

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