## Step by step solution for calculating 350 is 70 percent of what number

We already have our very first value **350** and the 2nd value **70**. Let"s i think the unknown worth is **Y** i m sorry answer us will uncover out.

You are watching: 350 is 70 percent of what number

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

STEP 1350 = 70% × Y

STEP 2350 = 70/100× Y

Multiplying both political parties by 100 and dividing both political parties of the equation through 70 we will arrive at:

STEP 3Y = 350 × 100/70

STEP 4Y = 350 × 100 ÷ 70

STEP 5Y = 500

Finally, us have uncovered the worth of Y which is 500 and that is our answer.

You can easily calculate **350 is 70 percent that what number** by using any regular calculator, simply enter **350 × 100 ÷ 70** and also you will obtain your answer i beg your pardon is **500**

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## Sample questions, answers, and also how to

**Question:** your friend has actually a bag the marbles, and he tells you the 70 percent of the marbles are red. If there room 350 red marbles. How countless marbles walk he have altogether?

**Answer:** 500 marbles.

**How To:** In this problem, we recognize that the Percent is 70, and also we are also told the the part of the marbles is red, so we understand that the part is 350.

So, that method that it have to be the total that"s missing. Right here is the method to number out what the total is:

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s shot it the end on ours problem around the marbles, that"s very simple and it"s simply two steps! We recognize that the "Part" (red marbles) is 350.

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

350 × 100 = 35000

In step two, we take that 35000 and also divide it by the "Percent", which we room told is 70.

So, 35000 split by 70 = 500

And that method that the total variety of marbles is 500.

**Question:** A high institution marching band has 350 flute players, If 70 percent the the band members beat the flute, climate how numerous members room in the band?

**Answer:** There space 500 members in the band.

**How To:** The smaller sized "Part" in this difficulty is 350 due to the fact that there room 350 flute players and also we are told that they make up 70 percent that the band, therefore the "Percent" is 70.

Again, it"s the "Total" that"s missing here, and also to uncover it, we simply need to follow our 2 action procedure together the ahead problem.

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

350 × 100 = 35000

For action two, we divide that 35000 through the "Percent", i m sorry is 70.

See more: How Much Is 10 Meters In Inches Conversion, How Many Inches In 10 Meters

35000 divided by 70 amounts to 500

That means that the total variety of band members is 500.

## Another step by action method

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

**Step 2:** very first writing that as: **100% / Y = 70% / 350**

**Step 3:** autumn the percent marks to leveling your calculations: **100 / Y = 70 / 350**

**Step 4:** multiply both political parties by Y to relocate Y ~ above the ideal side the the equation: **100 = ( 70 / 350 ) Y**

**Step 5:** simplifying the appropriate side, we get: **100 = 70 Y**

**Step 6:** separating both sides of the equation by 70, we will certainly arrive at **500 = Y**

This pipeline us with our last answer: **350 is 70 percent that 500**

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