Step by step solution because that calculating 70 is 20 percent the what number

We currently have our first value 70 and also the 2nd value 20. Let"s i think the unknown worth is Y i beg your pardon answer us will find out.

You are watching: 70 is 20 percent of what number

As we have all the compelled values we need, currently we can put castle in a simple mathematical formula as below:

STEP 170 = 20% × Y

STEP 270 = 20/100× Y

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

STEP 3Y = 70 × 100/20

STEP 4Y = 70 × 100 ÷ 20

STEP 5Y = 350

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

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


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Sample questions, answers, and also how to

Question: her friend has a bag of marbles, and he tells you the 20 percent of the marbles space red. If there room 70 red marbles. How many marbles does he have altogether?

Answer: 350 marbles.

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

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

Part/Total = Percent/100

By making use of a an easy algebra we deserve to re-arrange our Percent equation favor this:

Part × 100/Percent = Total

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

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

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

70 × 100 = 7000

In step two, we take the 7000 and divide it by the "Percent", i m sorry we space told is 20.

So, 7000 divided by 20 = 350

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

Question: A high school marching band has actually 70 flute players, If 20 percent the the band members beat the flute, then how plenty of members are in the band?

Answer: There space 350 members in the band.

How To: The smaller sized "Part" in this trouble is 70 because there are 70 flute players and we are 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 to discover it, we simply need to monitor our 2 action procedure together the previous problem.

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

70 × 100 = 7000

For step two, we division that 7000 through the "Percent", i beg your pardon is 20.

See more: Los Angeles To Sydney Distance From Sydney To Los Angeles Distance (Syd To Lax)

7000 split by 20 equals 350

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

Another action by step method

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

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

Step 3: drop the percent marks to leveling your calculations: 100 / Y = 20 / 70

Step 4: main point both political parties by Y to move Y top top the appropriate side of the equation: 100 = ( 20 / 70 ) Y

Step 5: simplifying the appropriate side, we get: 100 = 20 Y

Step 6: dividing both political parties of the equation by 20, we will arrive at 350 = Y

This leaves us with our last answer: 70 is 20 percent the 350


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