Step by action solution because that calculating 20 is 80 percent the what number

We already have our an initial value 20 and the second value 80. Let"s assume the unknown worth is Y i m sorry answer we will discover out.

You are watching: 20 is 80 percent of what

As we have actually all the compelled values us need, now we have the right to put castle in a simple mathematical formula as below:

STEP 120 = 80% × Y

STEP 220 = 80/100× Y

Multiplying both sides by 100 and dividing both political parties of the equation by 80 we will arrive at:

STEP 3Y = 20 × 100/80

STEP 4Y = 20 × 100 ÷ 80

STEP 5Y = 25

Finally, us have found the value of Y i m sorry is 25 and that is ours answer.

You can quickly calculate 20 is 80 percent the what number by using any kind of regular calculator, simply get in 20 × 100 ÷ 80 and also you will acquire your answer i beg your pardon is 25


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Sample questions, answers, and how to

Question: your friend has actually a bag the marbles, and also he tells you that 80 percent the the marbles room red. If there are 20 red marbles. How countless marbles go he have actually altogether?

Answer: 25 marbles.

How To: In this problem, we know that the Percent is 80, and also we are additionally told the the component of the marbles is red, therefore we know that the part is 20.

So, that method that it need to be the complete that"s missing. Below is the way to figure out what the complete is:

Part/Total = Percent/100

By using a straightforward algebra we can re-arrange ours Percent equation choose this:

Part × 100/Percent = Total

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

Let"s shot it the end on ours problem about the marbles, that"s very simple and it"s just two steps! We know that the "Part" (red marbles) is 20.

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

20 × 100 = 2000

In step two, we take the 2000 and divide the by the "Percent", which we room told is 80.

So, 2000 divided by 80 = 25

And that way that the total variety of marbles is 25.

Question: A high school marching band has 20 flute players, If 80 percent of the band members play the flute, climate how plenty of members room in the band?

Answer: There room 25 members in the band.

How To: The smaller "Part" in this trouble is 20 due to the fact that there are 20 flute players and also we are told the they comprise 80 percent of the band, therefore the "Percent" is 80.

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

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

20 × 100 = 2000

For step two, we divide that 2000 by the "Percent", i beg your pardon is 80.

See more: Why Was Courage The Cowardly Dog Canceled ? Why Was Courage The Cowardly Dog Canceled

2000 separated by 80 equals 25

That method that the total variety of band members is 25.

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 = 80% / 20

Step 3: autumn the portion marks to leveling your calculations: 100 / Y = 80 / 20

Step 4: main point both political parties by Y to relocate Y on the appropriate side that the equation: 100 = ( 80 / 20 ) Y

Step 5: simple the ideal side, we get: 100 = 80 Y

Step 6: separating both political parties of the equation by 80, we will certainly arrive in ~ 25 = Y

This pipeline us with our last answer: 20 is 80 percent of 25


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