Step by action solution for calculating 20 is 80 percent of what number

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

You are watching: 20 percent of what number is 80

As we have all the forced values us need, now we can put them in a straightforward mathematical formula together below:

STEP 120 = 80% × Y

STEP 220 = 80/100× Y

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

STEP 3Y = 20 × 100/80

STEP 4Y = 20 × 100 ÷ 80

STEP 5Y = 25

Finally, we have discovered the worth of Y i beg your pardon is 25 and also that is ours answer.

You can easily calculate 20 is 80 percent the what number through using any kind of regular calculator, simply get in 20 × 100 ÷ 80 and also you will acquire your answer which is 25

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Sample questions, answers, and also how to

Question: her friend has a bag the marbles, and also he speak you that 80 percent the the marbles are red. If there room 20 red marbles. How many marbles does he have altogether?

Answer: 25 marbles.

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

So, that way that it need to be the total that"s missing. Here is the means to figure out what the complete is:

Part/Total = Percent/100

By utilizing a an easy algebra we have the right to re-arrange ours Percent equation choose this:

Part × 100/Percent = Total

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

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

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

20 × 100 = 2000

In step two, we take that 2000 and also divide the by the "Percent", i beg your pardon we room told is 80.

So, 2000 separated by 80 = 25

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

Question: A high school marching band has 20 flute players, If 80 percent the the tape members beat the flute, then how plenty of members are in the band?

Answer: There space 25 members in the band.

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

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

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

20 × 100 = 2000

For step two, we divide that 2000 by the "Percent", i m sorry is 80.

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2000 split by 80 amounts to 25

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

Another step by step method

Let"s i think the unknown value is Y

First creating it as: 100% / Y = 80% / 20

Drop the percent marks to simplify your calculations: 100 / Y = 80 / 20

Multiply both political parties by Y to move Y ~ above the ideal side that the equation: 100 = ( 80 / 20 ) Y

Simplifying the ideal side, we get: 100 = 80 Y

Dividing both sides of the equation through 80, we will certainly arrive in ~ 25 = Y

This leaves us through our final answer: 20 is 80 percent the 25


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