## Step by action solution because that calculating 28 is 40 percent of what number

We already have our an initial value **28** and also the 2nd value **40**. Let"s assume the unknown worth is **Y** i m sorry answer us will uncover out.

You are watching: 28 is 40 percent of what number

As we have all the forced values we need, now we have the right to put lock in a basic mathematical formula as below:

STEP 128 = 40% × Y

STEP 228 = 40/100× Y

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

STEP 3Y = 28 × 100/40

STEP 4Y = 28 × 100 ÷ 40

STEP 5Y = 70

Finally, we have found the worth of Y which is 70 and that is our answer.

You can easily calculate **28 is 40 percent that what number** by using any kind of regular calculator, simply get in **28 × 100 ÷ 40** and you will gain your answer which is **70**

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## Sample questions, answers, and also how to

**Question:** your friend has actually a bag that marbles, and also he speak you that 40 percent the the marbles space red. If there room 28 red marbles. How countless marbles go he have altogether?

**Answer:** 70 marbles.

**How To:** In this problem, we understand that the Percent is 40, and we are additionally told that the part of the marbles is red, therefore we know that the part is 28.

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

Part/Total = Percent/100

By utilizing a straightforward algebra we have the right to re-arrange our Percent equation prefer this:

Part × 100/Percent = Total

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

Let"s try it out on ours problem about the marbles, that"s very an easy and it"s just two steps! We know that the "Part" (red marbles) is 28.

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

28 × 100 = 2800

In action two, we take the 2800 and also divide it by the "Percent", which we room told is 40.

So, 2800 split by 40 = 70

And that way that the total number of marbles is 70.

**Question:** A high school marching band has actually 28 flute players, If 40 percent of the tape members pat the flute, then how numerous members are in the band?

**Answer:** There room 70 members in the band.

**How To:** The smaller "Part" in this difficulty is 28 due to the fact that there room 28 flute players and we space told that they make up 40 percent of the band, therefore the "Percent" is 40.

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

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

28 × 100 = 2800

For action two, we divide that 2800 by the "Percent", i m sorry is 40.

See more: A Substance That Can Be Broken Down Into Simpler Substances, Chemistry Chapter 2

2800 split by 40 amounts to 70

That means that the total number of band members is 70.

## Another step by action method

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

**Step 2:** first writing the as: **100% / Y = 40% / 28**

**Step 3:** drop the percent marks to simplify your calculations: **100 / Y = 40 / 28**

**Step 4:** main point both sides by Y to relocate Y top top the appropriate side that the equation: **100 = ( 40 / 28 ) Y**

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

**Step 6:** dividing both sides of the equation through 40, we will arrive in ~ **70 = Y**

This pipeline us through our last answer: **28 is 40 percent that 70**

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