Step by step solution for calculating 8 is 25 percent of what number

We currently have our an initial value 8 and also the second value 25. Let"s i think the unknown worth is Y i beg your pardon answer we will uncover out.

You are watching: 8 is 25 percent of what number

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

STEP 18 = 25% × Y

STEP 28 = 25/100× Y

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

STEP 3Y = 8 × 100/25

STEP 4Y = 8 × 100 ÷ 25

STEP 5Y = 32

Finally, we have uncovered the worth of Y i beg your pardon is 32 and also that is our answer.

You can quickly calculate 8 is 25 percent of what number through using any regular calculator, simply go into 8 × 100 ÷ 25 and also you will obtain your answer which is 32


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Sample questions, answers, and also how to

Question: her friend has actually a bag the marbles, and also he tells you that 25 percent that the marbles space red. If there room 8 red marbles. How many marbles go he have altogether?

Answer: 32 marbles.

How To: In this problem, we understand that the Percent is 25, and also we are additionally told the the component of the marbles is red, for this reason we recognize that the component is 8.

So, that method that it should be the total that"s missing. Here is the means to figure out what the complete is:

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s try it out on ours problem around the marbles, that"s very basic and it"s simply two steps! We know that the "Part" (red marbles) is 8.

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

8 × 100 = 800

In action two, we take that 800 and divide the by the "Percent", i beg your pardon we space told is 25.

So, 800 split by 25 = 32

And that method that the total variety of marbles is 32.

Question: A high institution marching band has 8 flute players, If 25 percent of the band members play the flute, climate how countless members space in the band?

Answer: There room 32 members in the band.

How To: The smaller "Part" in this trouble is 8 since there space 8 flute players and also we are told the they make up 25 percent of the band, so the "Percent" is 25.

Again, it"s the "Total" that"s absent here, and to find it, we simply need to monitor our 2 step procedure together the ahead problem.

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

8 × 100 = 800

For action two, we divide that 800 by the "Percent", i beg your pardon is 25.

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800 split by 25 equals 32

That means that the total variety of band members is 32.

Another step by step method

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

Step 2: an initial writing that as: 100% / Y = 25% / 8

Step 3: drop the percent marks to leveling your calculations: 100 / Y = 25 / 8

Step 4: main point both sides by Y to relocate Y on the appropriate side the the equation: 100 = ( 25 / 8 ) Y

Step 5: simple the right side, we get: 100 = 25 Y

Step 6: separating both political parties of the equation by 25, we will arrive at 32 = Y

This pipeline us v our last answer: 8 is 25 percent of 32


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