Step by action solution for calculating 20 is 20 percent that what number

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

You are watching: 20 of what number is 100

As we have all the compelled values us need, now we have the right to put lock in a straightforward mathematical formula together below:

STEP 120 = 20% × Y

STEP 220 = 20/100× Y

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

STEP 3Y = 20 × 100/20

STEP 4Y = 20 × 100 ÷ 20

STEP 5Y = 100

Finally, we have discovered the value of Y i m sorry is 100 and also that is ours answer.

You can easily calculate 20 is 20 percent that what number through using any regular calculator, simply enter 20 × 100 ÷ 20 and also you will gain your answer i beg your pardon is 100


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Sample questions, answers, and how to

Question: her friend has a bag the marbles, and he tells you the 20 percent the the marbles room red. If there room 20 red marbles. How numerous marbles go he have altogether?

Answer: 100 marbles.

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

So, that way that it should be the total that"s missing. Below is the way to number out what the complete is:

Part/Total = Percent/100

By using a straightforward algebra we deserve to re-arrange our Percent equation choose this:

Part × 100/Percent = Total

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

Let"s try it out on ours problem about the marbles, that"s very basic and it"s just two steps! We recognize that the "Part" (red marbles) is 20.

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

20 × 100 = 2000

In action two, us take that 2000 and divide that by the "Percent", which we room told is 20.

So, 2000 split by 20 = 100

And that way that the total variety of marbles is 100.

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

Answer: There space 100 members in the band.

How To: The smaller "Part" in this trouble is 20 because there are 20 flute players and we are told the they make up 20 percent that the band, so the "Percent" is 20.

Again, it"s the "Total" that"s missing here, and to uncover it, we just need to follow our 2 step procedure as the previous problem.

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

20 × 100 = 2000

For step two, we division that 2000 by the "Percent", i beg your pardon is 20.

See more: Highest Temperature Ever Recorded In Buffalo, Ny Climate, Buffalo Breaks Temperature Record Set In 1921

2000 separated by 20 amounts to 100

That way that the total number of band members is 100.

Another step by step method

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

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

Step 3: fall the percentage marks to leveling your calculations: 100 / Y = 20 / 20

Step 4: main point both political parties by Y to move Y top top the ideal side the the equation: 100 = ( 20 / 20 ) Y

Step 5: simple the appropriate side, us get: 100 = 20 Y

Step 6: separating both sides of the equation by 20, we will arrive at 100 = Y

This leaves us through our last answer: 20 is 20 percent the 100


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