## Step by step solution because that calculating 10 is 40 percent the what number

We currently have our an initial value **10** and also the 2nd value **40**. Let"s i think the unknown worth is **Y** which answer we will find out.

You are watching: 10 is what percent of 40

As we have actually all the compelled values we need, now we can put lock in a simple mathematical formula together below:

STEP 110 = 40% × Y

STEP 210 = 40/100× Y

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

STEP 3Y = 10 × 100/40

STEP 4Y = 10 × 100 ÷ 40

STEP 5Y = 25

Finally, us have found the worth of Y i m sorry is 25 and also that is our answer.

You can easily calculate **10 is 40 percent of what number** through using any type of regular calculator, simply enter **10 × 100 ÷ 40** and also you will acquire your answer which is **25**

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## Sample questions, answers, and how to

**Question:** her friend has actually a bag that marbles, and also he speak you the 40 percent the the marbles room red. If there room 10 red marbles. How numerous marbles walk he have altogether?

**Answer:** 25 marbles.

**How To:** In this problem, we recognize that the Percent is 40, and we are additionally told the the component of the marbles is red, for this reason we understand that the component is 10.

So, that way that it need to be the full that"s missing. Right here is the method to number out what the total is:

Part/Total = Percent/100

By making use of a straightforward algebra we have the right to re-arrange our Percent equation favor this:

Part × 100/Percent = Total

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

Let"s try it the end on our problem around the marbles, that"s very straightforward and it"s just two steps! We recognize that the "Part" (red marbles) is 10.

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

10 × 100 = 1000

In step two, we take the 1000 and also divide the by the "Percent", i m sorry we space told is 40.

So, 1000 divided by 40 = 25

And that way that the total number of marbles is 25.

**Question:** A high college marching band has actually 10 flute players, If 40 percent of the band members play the flute, then how numerous members are in the band?

**Answer:** There room 25 members in the band.

**How To:** The smaller sized "Part" in this difficulty is 10 because there space 10 flute players and we room told that they consist of 40 percent that the band, for this reason 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 step procedure as the ahead problem.

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

10 × 100 = 1000

For action two, we divide that 1000 through the "Percent", i m sorry is 40.

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1000 divided by 40 equals 25

That way that the total variety of band members is 25.

## Another step by step method

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

**Step 2:** very first writing it as: **100% / Y = 40% / 10**

**Step 3:** autumn the percent marks to simplify your calculations: **100 / Y = 40 / 10**

**Step 4:** main point both sides by Y to relocate Y top top the right side of the equation: **100 = ( 40 / 10 ) Y**

**Step 5:** simple the best side, we get: **100 = 40 Y**

**Step 6:** dividing both political parties of the equation by 40, we will arrive at **25 = Y**

This pipeline us with our last answer: **10 is 40 percent of 25**

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