Step by step solution because that calculating 15 is 40 percent the what number

We already have our first value 15 and also the 2nd value 40. Let"s i think the unknown value is Y i beg your pardon answer we will find out.

You are watching: What percent of 40 is 15

As we have actually all the required values we need, now we can put them in a an easy mathematical formula as below:

STEP 115 = 40% × Y

STEP 215 = 40/100× Y

Multiplying both political parties by 100 and dividing both political parties of the equation by 40 we will arrive at:

STEP 3Y = 15 × 100/40

STEP 4Y = 15 × 100 ÷ 40

STEP 5Y = 37.5

Finally, we have found the value of Y which is 37.5 and that is our answer.

You can conveniently calculate 15 is 40 percent of what number by using any kind of regular calculator, simply get in 15 × 100 ÷ 40 and you will obtain your answer i m sorry is 37.5


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Sample questions, answers, and also how to

Question: her friend has actually a bag the marbles, and he tells you the 40 percent that the marbles room red. If there are 15 red marbles. How many marbles go he have actually altogether?

Answer: 37.5 marbles.

How To: In this problem, we know that the Percent is 40, and also we are additionally told the the part of the marbles is red, therefore we know that the part is 15.

So, that method that it should 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 simple algebra we can re-arrange our Percent equation favor this:

Part × 100/Percent = Total

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

Let"s try it the end on our problem about the marbles, that"s very simple and it"s simply two steps! We recognize that the "Part" (red marbles) is 15.

So action one is to just multiply that component by 100.

15 × 100 = 1500

In action two, we take that 1500 and also divide it by the "Percent", i m sorry we are told is 40.

So, 1500 split by 40 = 37.5

And that method that the total variety of marbles is 37.5.

Question: A high college marching band has actually 15 flute players, If 40 percent that the tape members pat the flute, then how numerous members are in the band?

Answer: There room 37.5 members in the band.

How To: The smaller sized "Part" in this trouble is 15 due to the fact that there are 15 flute players and also we room told the they make up 40 percent the the band, so the "Percent" is 40.

Again, it"s the "Total" that"s lacking here, and also to find it, we simply need to follow our 2 step procedure together the previous problem.

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

15 × 100 = 1500

For action two, we divide that 1500 by the "Percent", which is 40.

See more: 18 Out Of 30 Is What Percent Of 30 Is 18 ? 18 Is What Percent Of 30

1500 split by 40 equals 37.5

That method that the total number of band members is 37.5.

Another step by action method

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

Step 2: very first writing the as: 100% / Y = 40% / 15

Step 3: fall the portion marks to simplify your calculations: 100 / Y = 40 / 15

Step 4: multiply both sides by Y to move Y on the ideal side of the equation: 100 = ( 40 / 15 ) Y

Step 5: simple the right side, us get: 100 = 40 Y

Step 6: splitting both political parties of the equation by 40, we will arrive in ~ 37.5 = Y

This pipeline us v our final answer: 15 is 40 percent of 37.5


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