## Step by action solution for calculating 70 is 20 percent of what number

We already have our very first value **70** and the 2nd value **20**. Let"s assume the unknown value is **Y** which answer us will find out.

You are watching: 70 is 20% of what number

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

STEP 170 = 20% × Y

STEP 270 = 20/100× Y

Multiplying both sides by 100 and also dividing both political parties of the equation by 20 we will certainly arrive at:

STEP 3Y = 70 × 100/20

STEP 4Y = 70 × 100 ÷ 20

STEP 5Y = 350

Finally, we have discovered the value of Y i beg your pardon is 350 and also that is our answer.

You can conveniently calculate **70 is 20 percent the what number** by using any type of regular calculator, simply get in **70 × 100 ÷ 20** and you will get your answer i beg your pardon is **350**

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## Sample questions, answers, and also how to

**Question:** her friend has a bag the marbles, and he tells you that 20 percent of the marbles are red. If there are 70 red marbles. How plenty of marbles does he have actually altogether?

**Answer:** 350 marbles.

**How To:** In this problem, we understand that the Percent is 20, and we are likewise told the the component of the marbles is red, so we understand that the part is 70.

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

Part/Total = Percent/100

By utilizing a an easy algebra we can re-arrange ours Percent equation favor this:

Part × 100/Percent = Total

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

Let"s shot it the end on ours problem about the marbles, that"s very straightforward and it"s just two steps! We understand that the "Part" (red marbles) is 70.

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

70 × 100 = 7000

In action two, us take that 7000 and also divide the by the "Percent", i m sorry we are told is 20.

So, 7000 separated by 20 = 350

And that way that the total variety of marbles is 350.

**Question:** A high institution marching band has actually 70 flute players, If 20 percent that the band members play the flute, then how many members space in the band?

**Answer:** There are 350 members in the band.

**How To:** The smaller "Part" in this problem is 70 since there space 70 flute players and we room told the they make up 20 percent of the band, for this reason the "Percent" is 20.

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

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

70 × 100 = 7000

For action two, we divide that 7000 through the "Percent", which is 20.

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7000 split by 20 equates to 350

That method that the total variety of band members is 350.

## Another step by step method

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

**Step 2:** very first writing it as: **100% / Y = 20% / 70**

**Step 3:** drop the portion marks to simplify your calculations: **100 / Y = 20 / 70**

**Step 4:** main point both sides by Y to move Y on the ideal side the the equation: **100 = ( 20 / 70 ) Y**

**Step 5:** simple the best side, us get: **100 = 20 Y**

**Step 6:** dividing both sides of the equation by 20, we will certainly arrive at **350 = Y**

This pipeline us with our final answer: **70 is 20 percent that 350**

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