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

We currently have our an initial value 3 and the second value 5. Let"s assume the unknown worth is Y which answer we will uncover out.

You are watching: 3 is 5 of what number

As we have actually all the compelled values us need, currently we can put castle in a an easy mathematical formula together below:

STEP 1 3 = 5% × Y

STEP 2 3 = 5/100× Y

Multiplying both political parties by 100 and dividing both political parties of the equation by 5 we will arrive at:

STEP 3 Y = 3 × 100/5

STEP 4 Y = 3 × 100 ÷ 5

STEP 5 Y = 60

Finally, we have uncovered 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 by using any kind of regular calculator, simply go into 3 × 100 ÷ 5 and you will acquire your answer which is 60

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Sample questions, answers, and how to

Question: her friend has a bag of marbles, and he speak you the 5 percent of the marbles room red. If there room 3 red marbles. How plenty of marbles go he have altogether?

Answer: 60 marbles.

How To: In this problem, we understand that the Percent is 5, and also we are also told the the component of the marbles is red, therefore we recognize that the component is 3.

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

Part/Total = Percent/100

By utilizing a an easy algebra we deserve to re-arrange our Percent equation favor this:

Part × 100/Percent = Total

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

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

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

3 × 100 = 300

In step two, us take the 300 and also divide that by the "Percent", i m sorry we room told is 5.

So, 300 split by 5 = 60

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

Question: A high school marching band has actually 3 flute players, If 5 percent the the tape members play the flute, then how many members space in the band?

Answer: There are 60 members in the band.

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

Again, it"s the "Total" that"s absent here, and also to find it, we just need to follow our 2 action procedure as the previous problem.

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

3 × 100 = 300

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

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300 split by 5 equates to 60

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

Have time and want to find out the calculation?

Let"s assume the unknown value is Y

First writing it as: 100% / Y = 5% / 3

Drop the percent marks to simplify your calculations: 100 / Y = 5 / 3

Multiply both political parties by Y to move Y ~ above the best side that the equation: 100 = ( 5 / 3 ) Y