Step by action solution for calculating 360 is 24 percent the what number

We currently have our an initial value 360 and the second value 24. Let"s assume the unknown worth is Y i m sorry answer us will uncover out.

You are watching: 360 is 24 of what number

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

STEP 1360 = 24% × Y

STEP 2360 = 24/100× Y

Multiplying both sides by 100 and also dividing both sides of the equation by 24 we will certainly arrive at:

STEP 3Y = 360 × 100/24

STEP 4Y = 360 × 100 ÷ 24

STEP 5Y = 1500

Finally, we have uncovered the worth of Y which is 1500 and also that is our answer.

You can conveniently calculate 360 is 24 percent of what number by using any type of regular calculator, simply go into 360 × 100 ÷ 24 and also you will obtain your answer i beg your pardon is 1500

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Sample questions, answers, and how to

Question: her friend has a bag the marbles, and he speak you the 24 percent the the marbles room red. If there room 360 red marbles. How numerous marbles does he have actually altogether?

Answer: 1500 marbles.

How To: In this problem, we know that the Percent is 24, and we are likewise told that the part of the marbles is red, so we recognize that the part is 360.

So, that method that it should be the full that"s missing. Below is the means to number out what the complete is:

Part/Total = Percent/100

By making use of a simple algebra we deserve to re-arrange ours Percent equation like this:

Part × 100/Percent = Total

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

Let"s try it out on our problem about the marbles, that"s very straightforward and it"s simply two steps! We know that the "Part" (red marbles) is 360.

So action one is to simply multiply that part by 100.

360 × 100 = 36000

In step two, we take that 36000 and divide it by the "Percent", which we space told is 24.

So, 36000 separated by 24 = 1500

And that means that the total variety of marbles is 1500.

Question: A high college marching band has 360 flute players, If 24 percent of the band members play the flute, climate how plenty of members are in the band?

Answer: There room 1500 members in the band.

How To: The smaller "Part" in this trouble is 360 since there room 360 flute players and we are told that they make up 24 percent the the band, so the "Percent" is 24.

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

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

360 × 100 = 36000

For action two, we divide that 36000 by the "Percent", i m sorry is 24.

See more: What Is 67/7 As A Mixed Number 67/7 To Percent, Convert To A Mixed Number 67/7

36000 split by 24 equates to 1500

That means that the total variety of band members is 1500.

Another action by step method

Let"s assume the unknown worth is Y

First composing it as: 100% / Y = 24% / 360

Drop the portion marks to simplify your calculations: 100 / Y = 24 / 360

Multiply both sides by Y to relocate Y ~ above the ideal side of the equation: 100 = ( 24 / 360 ) Y