Step by action solution for calculating 30 is 15 percent the what number

We currently have our an initial value 30 and the second value 15. Let"s assume the unknown value is Y i beg your pardon answer us will find out.

You are watching: 30 is 15 of what number

As we have all the required values we need, currently we deserve to put lock in a simple mathematical formula together below:

STEP 130 = 15% × Y

STEP 230 = 15/100× Y

Multiplying both sides by 100 and dividing both sides of the equation through 15 we will arrive at:

STEP 3Y = 30 × 100/15

STEP 4Y = 30 × 100 ÷ 15

STEP 5Y = 200

Finally, us have uncovered the value of Y i m sorry is 200 and that is ours answer.

You can easily calculate 30 is 15 percent the what number by using any type of regular calculator, simply get in 30 × 100 ÷ 15 and you will gain your answer which is 200


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Sample questions, answers, and also how to

Question: her friend has a bag the marbles, and also he tells you that 15 percent of the marbles room red. If there space 30 red marbles. How countless marbles does he have actually altogether?

Answer: 200 marbles.

How To: In this problem, we know that the Percent is 15, and we are additionally told the the component of the marbles is red, so we recognize that the part is 30.

So, that method that it need to be the full that"s missing. Right here is the means to number out what the total is:

Part/Total = Percent/100

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

Part × 100/Percent = Total

If we 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 the end on ours problem about the marbles, that"s very an easy and it"s just two steps! We understand that the "Part" (red marbles) is 30.

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

30 × 100 = 3000

In action two, we take that 3000 and divide it by the "Percent", which we are told is 15.

So, 3000 split by 15 = 200

And that method that the total variety of marbles is 200.

Question: A high school marching band has actually 30 flute players, If 15 percent that the band members pat the flute, then how countless members space in the band?

Answer: There space 200 members in the band.

How To: The smaller "Part" in this trouble is 30 since there are 30 flute players and we room told that they consist of 15 percent that the band, therefore the "Percent" is 15.

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

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

30 × 100 = 3000

For step two, we divide that 3000 through the "Percent", i beg your pardon is 15.

See more: The Degree Of Loudness And Softness In Music Is Called Dynamics.

3000 divided by 15 equals 200

That method that the total variety of band members is 200.

Another step by action method

Step 1: Let"s i think the unknown worth is Y

Step 2: an initial writing that as: 100% / Y = 15% / 30

Step 3: drop the percent marks to simplify your calculations: 100 / Y = 15 / 30

Step 4: multiply both political parties by Y to relocate Y ~ above the best side that the equation: 100 = ( 15 / 30 ) Y

Step 5: simplifying the right side, us get: 100 = 15 Y

Step 6: splitting both political parties of the equation by 15, we will certainly arrive at 200 = Y

This leaves us v our final answer: 30 is 15 percent that 200


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