## Step by action solution for calculating 45.5 is 35 percent the what number

We currently have our very first value **45.5** and also the 2nd value **35**. Let"s assume the unknown value is **Y** i beg your pardon answer we will uncover out.

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As we have actually all the forced values we need, now we deserve to put them in a an easy mathematical formula together below:

STEP 145.5 = 35% × Y

STEP 245.5 = 35/100× Y

Multiplying both political parties by 100 and also dividing both political parties of the equation by 35 we will arrive at:

STEP 3Y = 45.5 × 100/35

STEP 4Y = 45.5 × 100 ÷ 35

STEP 5Y = 130

Finally, us have discovered the value of Y i m sorry is 130 and that is ours answer.

You can quickly calculate **45.5 is 35 percent that what number** by using any type of regular calculator, simply enter **45.5 × 100 ÷ 35** and also you will get your answer which is **130**

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## Sample questions, answers, and how to

**Question:** her friend has a bag of marbles, and he tells you the 35 percent of the marbles room red. If there are 45.5 red marbles. How many marbles does he have actually altogether?

**Answer:** 130 marbles.

**How To:** In this problem, we recognize that the Percent is 35, and we are likewise told that the component of the marbles is red, for this reason we understand that the part is 45.5.

So, that means that it should be the complete that"s missing. Right here is the means to figure out what the full is:

Part/Total = Percent/100

By using a an easy algebra we can re-arrange our Percent equation choose this:

Part × 100/Percent = Total

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

Let"s shot it the end on our problem about the marbles, that"s very basic and it"s simply two steps! We understand that the "Part" (red marbles) is 45.5.

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

45.5 × 100 = 4550

In step two, us take the 4550 and divide that by the "Percent", which we are told is 35.

So, 4550 separated by 35 = 130

And that method that the total variety of marbles is 130.

**Question:** A high school marching band has 45.5 flute players, If 35 percent that the tape members pat the flute, then how numerous members room in the band?

**Answer:** There space 130 members in the band.

**How To:** The smaller sized "Part" in this trouble is 45.5 since there space 45.5 flute players and we are told that they comprise 35 percent of the band, so the "Percent" is 35.

Again, it"s the "Total" that"s absent here, and to find it, we simply need to follow our 2 action procedure as the vault problem.

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

45.5 × 100 = 4550

For action two, we divide that 4550 by the "Percent", i beg your pardon is 35.

See more: What Is 1 Over 5 As A Decimal, How Do You Convert 1/5 Into A Decimal And Percent

4550 split by 35 equates to 130

That way that the total number of band members is 130.

## Another step by action method

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

**Step 2:** first writing the as: **100% / Y = 35% / 45.5**

**Step 3:** fall the percent marks to leveling your calculations: **100 / Y = 35 / 45.5**

**Step 4:** multiply both political parties by Y to move Y ~ above the appropriate side that the equation: **100 = ( 35 / 45.5 ) Y**

**Step 5:** simplifying the appropriate side, us get: **100 = 35 Y**

**Step 6:** separating both political parties of the equation by 35, we will arrive at **130 = Y**

This leaves us with our final answer: **45.5 is 35 percent that 130**

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