Step by step solution because that calculating 15 is 20 percent that what number

We currently have our very first value 15 and also the second value 20. Let"s assume the unknown worth is Y i m sorry answer us will find out.

You are watching: 20 of what number is 15

As we have all the required values us need, currently we can put them in a simple mathematical formula together below:

STEP 115 = 20% × Y

STEP 215 = 20/100× Y

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

STEP 3Y = 15 × 100/20

STEP 4Y = 15 × 100 ÷ 20

STEP 5Y = 75

Finally, us have discovered the worth of Y i m sorry is 75 and that is ours answer.

You can conveniently calculate 15 is 20 percent the what number by using any regular calculator, simply get in 15 × 100 ÷ 20 and you will gain your answer i beg your pardon is 75


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Sample questions, answers, and how to

Question: her friend has actually a bag that marbles, and he tells you that 20 percent of the marbles space red. If there are 15 red marbles. How plenty of marbles go he have altogether?

Answer: 75 marbles.

How To: In this problem, we recognize that the Percent is 20, and also we are additionally told that the part of the marbles is red, therefore we know that the component is 15.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s try it out 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 15.

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

15 × 100 = 1500

In step two, we take that 1500 and divide it by the "Percent", i beg your pardon we space told is 20.

So, 1500 split by 20 = 75

And that method that the total number of marbles is 75.

Question: A high college marching band has actually 15 flute players, If 20 percent the the band members beat the flute, climate how countless members are in the band?

Answer: There room 75 members in the band.

How To: The smaller sized "Part" in this problem is 15 due to the fact that there space 15 flute players and also we space told that they comprise 20 percent that the band, therefore the "Percent" is 20.

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

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

15 × 100 = 1500

For step two, we divide that 1500 by the "Percent", which is 20.

See more: What Time Was 10 Hours Ago From Now, What Time Is 10 Hours From 12:00Pm

1500 divided by 20 equals 75

That way that the total variety of band members is 75.

Another step by step method

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

Step 2: an initial writing that as: 100% / Y = 20% / 15

Step 3: fall the percent marks to simplify your calculations: 100 / Y = 20 / 15

Step 4: multiply both political parties by Y to relocate Y top top the appropriate side the the equation: 100 = ( 20 / 15 ) Y

Step 5: simplifying the right side, we get: 100 = 20 Y

Step 6: dividing both sides of the equation by 20, we will arrive at 75 = Y

This pipeline us through our final answer: 15 is 20 percent of 75


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