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

We currently have our first value **10** and the second value **40**. Let"s i think the unknown value is **Y** i beg your pardon answer us will uncover out.

You are watching: 40 is what percent of 10

As we have actually all the required values us need, now we have the right to put them in a simple mathematical formula as below:

STEP 110 = 40% × Y

STEP 210 = 40/100× Y

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

STEP 3Y = 10 × 100/40

STEP 4Y = 10 × 100 ÷ 40

STEP 5Y = 25

Finally, we have discovered the value of Y i beg your pardon is 25 and also that is our answer.

You can quickly calculate **10 is 40 percent that what number** by using any regular calculator, simply get in **10 × 100 ÷ 40** and also you will gain your answer i beg your pardon is **25**

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## Sample questions, answers, and also how to

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

**Answer:** 25 marbles.

**How To:** In this problem, we understand that the Percent is 40, and we are also told the the part of the marbles is red, so we understand that the part is 10.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

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

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

10 × 100 = 1000

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

So, 1000 divided by 40 = 25

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

**Question:** A high college marching band has 10 flute players, If 40 percent the the band members beat the flute, then how countless members space in the band?

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

**How To:** The smaller "Part" in this difficulty is 10 since there room 10 flute players and also we room told that they make up 40 percent of the band, so the "Percent" is 40.

Again, it"s the "Total" that"s missing here, and also to discover it, we simply need to monitor our 2 action procedure as the vault problem.

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

10 × 100 = 1000

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

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1000 divided by 40 amounts to 25

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

## Another action by action method

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

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

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

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

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

**Step 6:** separating both political parties of the equation by 40, we will certainly arrive in ~ **25 = Y**

This leaves us through our last answer: **10 is 40 percent that 25**

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