Step by step solution for calculating 1000 is 20 percent of what number

We already have our an initial value 1000 and the second value 20. Let"s assume the unknown value is Y which answer we will discover out.

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As we have all the compelled values we need, currently we deserve to put them in a basic mathematical formula as below:

STEP 11000 = 20% × Y

STEP 21000 = 20/100× Y

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

STEP 3Y = 1000 × 100/20

STEP 4Y = 1000 × 100 ÷ 20

STEP 5Y = 5000

Finally, us have uncovered the worth of Y which is 5000 and that is our answer.

You can easily calculate 1000 is 20 percent of what number through using any type of regular calculator, simply get in 1000 × 100 ÷ 20 and you will obtain your answer which is 5000


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Sample questions, answers, and also how to

Question: your friend has a bag the marbles, and he tells you that 20 percent the the marbles are red. If there are 1000 red marbles. How many marbles go he have actually altogether?

Answer: 5000 marbles.

How To: In this problem, we know that the Percent is 20, and also we are also told the the component of the marbles is red, for this reason we know that the component is 1000.

So, that way that it need to be the full that"s missing. Here is the method to number out what the full is:

Part/Total = Percent/100

By making use of a straightforward algebra we have the right to re-arrange our Percent equation choose this:

Part × 100/Percent = Total

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

Let"s try it out on our problem around the marbles, that"s very an easy and it"s simply two steps! We recognize that the "Part" (red marbles) is 1000.

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

1000 × 100 = 100000

In action two, we take the 100000 and divide the by the "Percent", i beg your pardon we are told is 20.

So, 100000 split by 20 = 5000

And that method that the total variety of marbles is 5000.

Question: A high school marching band has actually 1000 flute players, If 20 percent of the tape members beat the flute, then how numerous members room in the band?

Answer: There room 5000 members in the band.

How To: The smaller "Part" in this trouble is 1000 because there are 1000 flute players and also we are told that they consist of 20 percent the the band, therefore the "Percent" is 20.

Again, it"s the "Total" that"s absent here, and also to discover it, we just need to follow our 2 action procedure as the vault problem.

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

1000 × 100 = 100000

For step two, we divide that 100000 through the "Percent", i beg your pardon is 20.

See more: What Does The Name Butch Mean ? Name Butch Meaning, Origin Etc

100000 split by 20 amounts to 5000

That means that the total variety of band members is 5000.

Another step by action method

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

Step 2: first writing that as: 100% / Y = 20% / 1000

Step 3: autumn the percent marks to simplify your calculations: 100 / Y = 20 / 1000

Step 4: main point both sides by Y to move Y ~ above the right side of the equation: 100 = ( 20 / 1000 ) Y

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

Step 6: splitting both sides of the equation through 20, we will certainly arrive in ~ 5000 = Y

This leaves us v our last answer: 1000 is 20 percent that 5000


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