Step by step solution because that calculating 180 is 25 percent of what number

We currently have our first value 180 and also the 2nd value 25. Let"s assume the unknown worth is Y i beg your pardon answer us will find out.

You are watching: What number is 25 of 180

As we have all the forced values us need, now we deserve to put castle in a simple mathematical formula together below:

STEP 1 180 = 25% × Y

STEP 2 180 = 25/100× Y

Multiplying both political parties by 100 and dividing both political parties of the equation by 25 we will certainly arrive at:

STEP 3 Y = 180 × 100/25

STEP 4 Y = 180 × 100 ÷ 25

STEP 5 Y = 720

Finally, us have uncovered the value of Y i m sorry is 720 and also that is ours answer.

You can quickly calculate 180 is 25 percent of what number by using any regular calculator, simply go into 180 × 100 ÷ 25 and you will acquire your answer i m sorry is 720

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Sample questions, answers, and how to

Question: your friend has a bag the marbles, and he speak you the 25 percent of the marbles are red. If there room 180 red marbles. How numerous marbles does he have altogether?

Answer: 720 marbles.

How To: In this problem, we recognize that the Percent is 25, and we are also told that the component of the marbles is red, therefore we know that the component is 180.

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

Part/Total = Percent/100

By utilizing a simple algebra we can re-arrange ours Percent equation favor this:

Part × 100/Percent = Total

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

Let"s try it the end on our problem around the marbles, that"s very an easy and it"s just two steps! We know that the "Part" (red marbles) is 180.

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

180 × 100 = 18000

In action two, we take that 18000 and also divide it by the "Percent", i beg your pardon we room told is 25.

So, 18000 separated by 25 = 720

And that way that the total number of marbles is 720.

Question: A high college marching band has 180 flute players, If 25 percent that the band members beat the flute, then how many members space in the band?

Answer: There are 720 members in the band.

How To: The smaller "Part" in this trouble is 180 since there room 180 flute players and we space told that they make up 25 percent the the band, therefore the "Percent" is 25.

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

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

180 × 100 = 18000

For action two, we divide that 18000 by the "Percent", i m sorry is 25.

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18000 separated by 25 equates to 720

That way that the total number of band members is 720.

Have time and also want to find out the calculation?

Let"s assume the unknown worth is Y

First writing it as: 100% / Y = 25% / 180

Drop the percentage marks to leveling your calculations: 100 / Y = 25 / 180

Multiply both sides by Y to relocate Y top top the best side the the equation: 100 = ( 25 / 180 ) Y