## Step by action solution for calculating 84 is 30 percent of what number

We already have our initially value 84 and also the second value 30. Let"s assume the unwell-known worth is Y which answer we will uncover out.

You are watching: 84 is 30 of what number

As we have all the compelled values we require, Now we have the right to put them in a straightforward mathematical formula as below:

STEP 1 84 = 30% × Y

STEP 2 84 = 30/100× Y

Multiplying both sides by 100 and also separating both sides of the equation by 30 we will certainly arrive at:

STEP 3 Y = 84 × 100/30

STEP 4 Y = 84 × 100 ÷ 30

STEP 5 Y = 280

Finally, we have found the value of Y which is 280 and also that is our answer.

You can conveniently calculate 84 is 30 percent of what number by making use of any type of regular calculator, simply enter 84 × 100 ÷ 30 and also you will certainly acquire your answer which is 280

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## Sample questions, answers, and exactly how to

Question: Your friend has a bag of marbles, and he tells you that 30 percent of the marbles are red. If tbelow are 84 red marbles. How many type of marbles does he have actually altogether?

How To: In this difficulty, we recognize that the Percent is 30, and we are additionally told that the Part of the marbles is red, so we understand that the Part is 84.

So, that means that it should be the Total that"s missing. Here is the method to number out what the Total is:

Part/Total = Percent/100

By using a basic algebra we can re-arrange our Percent equation favor this:

Part × 100/Percent = Total

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

Let"s try it out on our difficulty around the marbles, that"s very straightforward and it"s just two steps! We know that the "Part" (red marbles) is 84.

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

84 × 100 = 8400

In action 2, we take that 8400 and also divide it by the "Percent", which we are told is 30.

So, 8400 split by 30 = 280

And that suggests that the total variety of marbles is 280.

Question: A high college marching band has actually 84 flute players, If 30 percent of the band members play the flute, then just how many members are in the band?

Answer: Tright here are 280 members in the band also.

How To: The smaller sized "Part" in this problem is 84 because there are 84 flute players and also we are told that they make up 30 percent of the band, so the "Percent" is 30.

Aget, it"s the "Total" that"s absent right here, and also to uncover it, we simply should follow our 2 step procedure as the previous problem.

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

84 × 100 = 8400

For action 2, we divide that 8400 by the "Percent", which is 30.

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8400 divided by 30 equals 280

That means that the total number of band members is 280.

## Have time and desire to learn the calculation?

Let"s assume the unrecognized worth is Y

First creating it as: 100% / Y = 30% / 84

Drop the portion marks to simplify your calculations: 100 / Y = 30 / 84

Multiply both sides by Y to relocate Y on the best side of the equation: 100 = ( 30 / 84 ) Y