Step by action solution because that calculating 30 is 80 percent the what number

We already have our an initial value 30 and the 2nd value 80. Let"s assume the unknown worth is Y i beg your pardon answer us will discover out.

You are watching: 30 is what percent of 80

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

STEP 130 = 80% × Y

STEP 230 = 80/100× Y

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

STEP 3Y = 30 × 100/80

STEP 4Y = 30 × 100 ÷ 80

STEP 5Y = 37.5

Finally, us have discovered the value of Y i m sorry is 37.5 and that is our answer.

You can quickly calculate 30 is 80 percent of what number by using any kind of regular calculator, simply enter 30 × 100 ÷ 80 and you will get your answer which is 37.5


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Sample questions, answers, and how to

Question: your friend has actually a bag of marbles, and also he tells you that 80 percent that the marbles room red. If there are 30 red marbles. How many marbles go he have altogether?

Answer: 37.5 marbles.

How To: In this problem, we know that the Percent is 80, and also we are additionally told that the component of the marbles is red, so we recognize that the part is 30.

So, that way that it should be the complete that"s missing. Below is the way to figure out what the full is:

Part/Total = Percent/100

By using a straightforward algebra we can re-arrange ours Percent equation choose this:

Part × 100/Percent = Total

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

Let"s shot it the end on ours problem about the marbles, that"s very an easy and it"s simply two steps! We understand that the "Part" (red marbles) is 30.

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

30 × 100 = 3000

In step two, us take the 3000 and also divide that by the "Percent", i m sorry we are told is 80.

So, 3000 split by 80 = 37.5

And that means that the total number of marbles is 37.5.

Question: A high institution marching band has actually 30 flute players, If 80 percent that the band members pat the flute, then how numerous members are in the band?

Answer: There are 37.5 members in the band.

How To: The smaller "Part" in this problem is 30 because there space 30 flute players and we are told the they comprise 80 percent of the band, therefore the "Percent" is 80.

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

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

30 × 100 = 3000

For action two, we divide that 3000 by the "Percent", i beg your pardon is 80.

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3000 separated by 80 equals 37.5

That method that the total number of band members is 37.5.

Another step by action method

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

Step 2: very first writing the as: 100% / Y = 80% / 30

Step 3: drop the portion marks to simplify your calculations: 100 / Y = 80 / 30

Step 4: main point both sides by Y to move Y on the right side of the equation: 100 = ( 80 / 30 ) Y

Step 5: simplifying the ideal side, we get: 100 = 80 Y

Step 6: splitting both political parties of the equation through 80, we will arrive in ~ 37.5 = Y

This leaves us through our final answer: 30 is 80 percent the 37.5


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