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

We currently have our first value 1000 and the second value 20. Let"s assume the unknown value is Y which answer we will find out.

You are watching: 1000 is 20 percent of what number

As we have actually all the required values we need, currently we have the right to put them in a an easy mathematical formula as below:

STEP 11000 = 20% × Y

STEP 21000 = 20/100× Y

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

STEP 3Y = 1000 × 100/20

STEP 4Y = 1000 × 100 ÷ 20

STEP 5Y = 5000

Finally, us have uncovered the value of Y i m sorry is 5000 and also that is our answer.

You can quickly calculate 1000 is 20 percent of what number through using any type of regular calculator, simply go into 1000 × 100 ÷ 20 and you will get your answer i beg your pardon is 5000


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Sample questions, answers, and how to

Question: her friend has actually a bag of marbles, and he speak you that 20 percent the the marbles room red. If there room 1000 red marbles. How numerous marbles does he have altogether?

Answer: 5000 marbles.

How To: In this problem, we know that the Percent is 20, and we are additionally told that the part of the marbles is red, therefore we understand that the part is 1000.

So, that method that it have to be the full that"s missing. Right here is the method to number out what the complete is:

Part/Total = Percent/100

By using a simple algebra we have the right to re-arrange our Percent equation like this:

Part × 100/Percent = Total

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

Let"s shot it the end on our problem around the marbles, that"s very straightforward and it"s just two steps! We understand that the "Part" (red marbles) is 1000.

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

1000 × 100 = 100000

In step two, us take the 100000 and divide the by the "Percent", which we space told is 20.

So, 100000 divided by 20 = 5000

And that way that the total number of marbles is 5000.

Question: A high college marching band has actually 1000 flute players, If 20 percent that the tape members play the flute, then how plenty of members room in the band?

Answer: There are 5000 members in the band.

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

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

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

1000 × 100 = 100000

For action two, we divide that 100000 by the "Percent", i m sorry is 20.

See more: Driving Distance From Atlanta To Houston Distance (Atl To Iah)

100000 divided by 20 equals 5000

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

Another step by step method

Step 1: Let"s i think the unknown worth is Y

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

Step 3: drop the percentage marks to leveling your calculations: 100 / Y = 20 / 1000

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

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

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

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


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