## Step by step solution because that calculating 25 is 40 percent the what number

We already have our very first value **25** and the second value **40**. Let"s i think the unknown value is **Y** i beg your pardon answer we will uncover out.

You are watching: 25 is 40 percent of what number

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

STEP 125 = 40% × Y

STEP 225 = 40/100× Y

Multiplying both sides by 100 and dividing both political parties of the equation by 40 we will arrive at:

STEP 3Y = 25 × 100/40

STEP 4Y = 25 × 100 ÷ 40

STEP 5Y = 62.5

Finally, us have uncovered the value of Y which is 62.5 and that is our answer.

You can conveniently calculate **25 is 40 percent of what number** by using any type of regular calculator, simply get in **25 × 100 ÷ 40** and also you will get your answer i beg your pardon is **62.5**

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## Sample questions, answers, and how to

**Question:** your friend has a bag the marbles, and he speak you the 40 percent of the marbles room red. If there are 25 red marbles. How countless marbles does he have altogether?

**Answer:** 62.5 marbles.

**How To:** In this problem, we recognize that the Percent is 40, and also we are also told that the component of the marbles is red, so we recognize that the part is 25.

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

Part/Total = Percent/100

By utilizing a basic algebra we have the right to re-arrange ours Percent equation favor this:

Part × 100/Percent = Total

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

Let"s try it the end on ours problem about the marbles, that"s very straightforward and it"s just two steps! We recognize that the "Part" (red marbles) is 25.

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

25 × 100 = 2500

In step two, we take the 2500 and also divide it by the "Percent", i m sorry we are told is 40.

So, 2500 divided by 40 = 62.5

And that method that the total number of marbles is 62.5.

**Question:** A high institution marching band has 25 flute players, If 40 percent of the tape members play the flute, climate how numerous members are in the band?

**Answer:** There space 62.5 members in the band.

**How To:** The smaller sized "Part" in this problem is 25 since there room 25 flute players and we space told that they consist of 40 percent that the band, so the "Percent" is 40.

Again, it"s the "Total" that"s absent here, and also to uncover it, we simply need to follow our 2 action procedure as the ahead problem.

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

25 × 100 = 2500

For action two, we division that 2500 through the "Percent", i beg your pardon is 40.

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2500 split by 40 amounts to 62.5

That method that the total number of band members is 62.5.

## Another step by step method

**Step 1:** Let"s i think the unknown value is **Y**

**Step 2:** an initial writing the as: **100% / Y = 40% / 25**

**Step 3:** autumn the portion marks to simplify your calculations: **100 / Y = 40 / 25**

**Step 4:** main point both sides by Y to relocate Y on the best side that the equation: **100 = ( 40 / 25 ) Y**

**Step 5:** simplifying the right side, we get: **100 = 40 Y**

**Step 6:** dividing both political parties of the equation through 40, we will arrive at **62.5 = Y**

This pipeline us through our last answer: **25 is 40 percent that 62.5**

25 is 40 percent of 62.5 |

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