## Step by step solution because that calculating 32 is 40 percent that what number

We already have our first value **32** and the 2nd value **40**. Let"s i think the unknown worth is **Y** which answer us will find out.

You are watching: 32 is 40 percent of what number?

As we have all the compelled values us need, currently we deserve to put lock in a simple mathematical formula as below:

STEP 132 = 40% × Y

STEP 232 = 40/100× Y

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

STEP 3Y = 32 × 100/40

STEP 4Y = 32 × 100 ÷ 40

STEP 5Y = 80

Finally, us have uncovered the value of Y i beg your pardon is 80 and also that is our answer.

You can conveniently calculate **32 is 40 percent of what number** through using any regular calculator, simply go into **32 × 100 ÷ 40** and also you will get your answer which is **80**

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## Sample questions, answers, and how to

**Question:** your friend has a bag of marbles, and he tells you that 40 percent the the marbles are red. If there are 32 red marbles. How many marbles go he have actually altogether?

**Answer:** 80 marbles.

**How To:** In this problem, we recognize that the Percent is 40, and also we are likewise told the the component of the marbles is red, for this reason we understand that the component is 32.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s shot it out on ours problem about the marbles, that"s very straightforward and it"s just two steps! We know that the "Part" (red marbles) is 32.

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

32 × 100 = 3200

In step two, us take the 3200 and also divide the by the "Percent", i m sorry we are told is 40.

So, 3200 split by 40 = 80

And that method that the total number of marbles is 80.

**Question:** A high school marching band has 32 flute players, If 40 percent that the tape members pat the flute, climate how numerous members are in the band?

**Answer:** There space 80 members in the band.

**How To:** The smaller "Part" in this trouble is 32 because there are 32 flute players and we space told the they make up 40 percent the the band, for this reason the "Percent" is 40.

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

For step one, we multiply the "Part" through 100.

32 × 100 = 3200

For action two, we division that 3200 by the "Percent", i beg your pardon is 40.

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3200 divided by 40 equals 80

That means that the total variety of band members is 80.

## Another step by step method

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

**Step 2:** an initial writing it as: **100% / Y = 40% / 32**

**Step 3:** drop the portion marks to leveling your calculations: **100 / Y = 40 / 32**

**Step 4:** multiply both sides by Y to relocate Y ~ above the best side the the equation: **100 = ( 40 / 32 ) Y**

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

**Step 6:** splitting both political parties of the equation through 40, we will certainly arrive in ~ **80 = Y**

This pipeline us with our final answer: **32 is 40 percent of 80**

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