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

We already have our first value 20 and also the second value 20. Let"s i think the unknown value is Y i beg your pardon answer we will uncover out.

You are watching: 20 of what number is 100

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

STEP 120 = 20% × Y

STEP 220 = 20/100× Y

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

STEP 3Y = 20 × 100/20

STEP 4Y = 20 × 100 ÷ 20

STEP 5Y = 100

Finally, we have discovered the worth of Y i beg your pardon is 100 and that is our answer.

You can conveniently calculate 20 is 20 percent of what number by using any regular calculator, simply go into 20 × 100 ÷ 20 and you will get your answer which is 100


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Sample questions, answers, and also how to

Question: her friend has a bag that marbles, and also he speak you the 20 percent the the marbles are red. If there room 20 red marbles. How countless marbles walk he have altogether?

Answer: 100 marbles.

How To: In this problem, we understand that the Percent is 20, and we are likewise told the the component of the marbles is red, for this reason we recognize that the part is 20.

So, that means that it have to be the total that"s missing. Below is the means to figure out what the complete is:

Part/Total = Percent/100

By utilizing a straightforward algebra we can re-arrange our Percent equation prefer this:

Part × 100/Percent = Total

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

Let"s shot it the end on our problem about the marbles, that"s very straightforward and it"s simply two steps! We recognize that the "Part" (red marbles) is 20.

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

20 × 100 = 2000

In action two, we take the 2000 and also divide it by the "Percent", i beg your pardon we are told is 20.

So, 2000 separated by 20 = 100

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

Question: A high college marching band has 20 flute players, If 20 percent that the tape members play the flute, climate how plenty of members are in the band?

Answer: There room 100 members in the band.

How To: The smaller sized "Part" in this problem is 20 due to the fact that there room 20 flute players and we space told that they consist of 20 percent that the band, for this reason the "Percent" is 20.

Again, it"s the "Total" that"s missing here, and to find it, we just need to monitor our 2 step procedure together the vault problem.

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

20 × 100 = 2000

For step two, we division that 2000 by the "Percent", i m sorry is 20.

See more: What Temp Is 350 On Electric Stove Top, What Temperature Is 350 On An Electric Stove

2000 divided by 20 amounts to 100

That means that the total variety of band members is 100.

Another step by action method

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

Step 2: very first writing that as: 100% / Y = 20% / 20

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

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

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

Step 6: splitting both political parties of the equation by 20, we will certainly arrive at 100 = Y

This pipeline us through our final answer: 20 is 20 percent that 100


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