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

We currently have our very first value 70 and also the second value 20. Let"s i think the unknown worth is Y which answer us will find out.

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As we have actually all the required values we need, currently we have the right to put castle in a an easy mathematical formula together below:

STEP 170 = 20% × Y

STEP 270 = 20/100× Y

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

STEP 3Y = 70 × 100/20

STEP 4Y = 70 × 100 ÷ 20

STEP 5Y = 350

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

You can easily calculate 70 is 20 percent of what number through using any type of regular calculator, simply get in 70 × 100 ÷ 20 and you will get your answer which is 350

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Sample questions, answers, and how to

Question: her friend has a bag the marbles, and also he tells you the 20 percent the the marbles are red. If there are 70 red marbles. How numerous marbles go he have altogether?

Answer: 350 marbles.

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

So, that means that it must be the total that"s missing. Here is the way to number out what the total is:

Part/Total = Percent/100

By making use of a an easy algebra we can re-arrange ours Percent equation like this:

Part × 100/Percent = Total

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

Let"s try it out on ours problem around the marbles, that"s very straightforward and it"s simply two steps! We understand that the "Part" (red marbles) is 70.

So action one is to simply multiply that component by 100.

70 × 100 = 7000

In step two, us take that 7000 and also divide the by the "Percent", which we space told is 20.

So, 7000 separated by 20 = 350

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

Question: A high school marching band has 70 flute players, If 20 percent the the band members beat the flute, climate how countless members room in the band?

Answer: There are 350 members in the band.

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

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

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

70 × 100 = 7000

For step two, we divide that 7000 through the "Percent", i m sorry is 20.

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7000 divided by 20 equals 350

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

Another step by step method

Let"s i think the unknown value is Y

First composing it as: 100% / Y = 20% / 70

Drop the portion marks to leveling your calculations: 100 / Y = 20 / 70

Multiply both sides by Y to move Y on the ideal side the the equation: 100 = ( 20 / 70 ) Y