Step by step solution for calculating 25.6 is 80 percent that what number

We already have our first value 25.6 and also the 2nd value 80. Let"s i think the unknown worth is Y i m sorry answer we will discover out.

You are watching: 32 is 80 percent of what number

As we have all the forced values us need, currently we have the right to put lock in a basic mathematical formula together below:

STEP 125.6 = 80% × Y

STEP 225.6 = 80/100× Y

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

STEP 3Y = 25.6 × 100/80

STEP 4Y = 25.6 × 100 ÷ 80

STEP 5Y = 32

Finally, we have found the worth of Y which is 32 and that is ours answer.

You can conveniently calculate 25.6 is 80 percent that what number by using any kind of regular calculator, simply get in 25.6 × 100 ÷ 80 and you will gain your answer i m sorry is 32


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Sample questions, answers, and how to

Question: your friend has actually a bag of marbles, and he speak you the 80 percent of the marbles are red. If there room 25.6 red marbles. How many marbles go he have actually altogether?

Answer: 32 marbles.

How To: In this problem, we know that the Percent is 80, and we are likewise told the the component of the marbles is red, therefore we understand that the component is 25.6.

So, that method that it have to be the full that"s missing. Here is the way to figure out what the full is:

Part/Total = Percent/100

By using a simple algebra we have the right to re-arrange our Percent equation prefer this:

Part × 100/Percent = Total

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

Let"s try it the end on ours problem around the marbles, that"s very an easy and it"s simply two steps! We recognize that the "Part" (red marbles) is 25.6.

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

25.6 × 100 = 2560

In step two, we take the 2560 and also divide the by the "Percent", i beg your pardon we are told is 80.

So, 2560 divided by 80 = 32

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

Question: A high school marching band has 25.6 flute players, If 80 percent of the tape members play the flute, climate how plenty of members space in the band?

Answer: There are 32 members in the band.

How To: The smaller "Part" in this trouble is 25.6 due to the fact that there space 25.6 flute players and we room 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 simply need to follow our 2 step procedure together the vault problem.

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

25.6 × 100 = 2560

For action two, we division that 2560 by the "Percent", i beg your pardon is 80.

See more: Approximately How Many Naturally Occuring Elements Are There On Earth?

2560 split by 80 equals 32

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

Another step by action method

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

Step 2: first writing that as: 100% / Y = 80% / 25.6

Step 3: fall the percentage marks to simplify your calculations: 100 / Y = 80 / 25.6

Step 4: main point both political parties by Y to relocate Y ~ above the right side of the equation: 100 = ( 80 / 25.6 ) Y

Step 5: simple the appropriate side, us get: 100 = 80 Y

Step 6: separating both political parties of the equation by 80, we will arrive at 32 = Y

This pipeline us through our last answer: 25.6 is 80 percent of 32


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