## Step by step solution because that calculating 40 is 80 percent of what number

We already have our an initial value **40** and the 2nd value **80**. Let"s assume the unknown worth is **Y** i m sorry answer us will uncover out.

You are watching: 40 of what number is 80

As we have all the compelled values us need, now we can put castle in a basic mathematical formula together below:

STEP 1 40 = 80% × Y

STEP 2 40 = 80/100× Y

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

STEP 3 Y = 40 × 100/80

STEP 4 Y = 40 × 100 ÷ 80

STEP 5 Y = 50

Finally, we have found the worth of Y i beg your pardon is 50 and also that is ours answer.

You can easily calculate **40 is 80 percent of what number** by using any regular calculator, simply enter **40 × 100 ÷ 80** and also you will get your answer which is **50**

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## Sample questions, answers, and also how to

**Question:** your friend has actually a bag the marbles, and he speak you the 80 percent that the marbles are red. If there room 40 red marbles. How countless marbles go he have actually altogether?

**Answer:** 50 marbles.

**How To:** In this problem, we recognize that the Percent is 80, and we are likewise told the the component of the marbles is red, so we understand that the component is 40.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s try it the end on ours problem around the marbles, that"s very straightforward and it"s simply two steps! We understand that the "Part" (red marbles) is 40.

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

40 × 100 = 4000

In action two, us take that 4000 and also divide it by the "Percent", i m sorry we space told is 80.

So, 4000 separated by 80 = 50

And that method that the total variety of marbles is 50.

**Question:** A high school marching band has actually 40 flute players, If 80 percent the the band members beat the flute, then how many members room in the band?

**Answer:** There are 50 members in the band.

**How To:** The smaller sized "Part" in this difficulty is 40 due to the fact that there are 40 flute players and also we space told the they make up 80 percent the the band, so the "Percent" is 80.

Again, it"s the "Total" that"s missing here, and also to find it, we just need to monitor our 2 step procedure as the vault problem.

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

40 × 100 = 4000

For step two, we division that 4000 by the "Percent", which is 80.

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4000 split by 80 amounts to 50

That means that the total variety of band members is 50.

## Have time and also want to discover the calculation?

Let"s assume the unknown worth is **Y**

First creating it as: **100% / Y = 80% / 40**

Drop the portion marks to leveling your calculations: **100 / Y = 80 / 40**

Multiply both sides by Y to relocate Y ~ above the appropriate side of the equation: **100 = ( 80 / 40 ) Y**