Step by action solution because that calculating 70 is 35 percent the what number

We already have our an initial value 70 and also the 2nd value 35. Let"s assume the unknown value is Y i m sorry answer us will discover out.

You are watching: 70 of what number is 35

As we have actually all the compelled values us need, currently we deserve to put lock in a straightforward mathematical formula as below:

STEP 1 70 = 35% × Y

STEP 2 70 = 35/100× Y

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

STEP 3 Y = 70 × 100/35

STEP 4 Y = 70 × 100 ÷ 35

STEP 5 Y = 200

Finally, us have found the value of Y i beg your pardon is 200 and also that is our answer.

You can quickly calculate 70 is 35 percent the what number by using any regular calculator, simply get in 70 × 100 ÷ 35 and also you will gain your answer i m sorry is 200

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Sample questions, answers, and also how to

Question: her friend has a bag that marbles, and also he speak you the 35 percent of the marbles are red. If there space 70 red marbles. How many marbles does he have altogether?

Answer: 200 marbles.

How To: In this problem, we know that the Percent is 35, and we are also 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 complete is:

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s try it out on our 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 step two, we take that 7000 and divide that by the "Percent", i beg your pardon we are told is 35.

So, 7000 divided by 35 = 200

And that way that the total variety of marbles is 200.

Question: A high school marching band has actually 70 flute players, If 35 percent that the band members beat the flute, climate how plenty of members are in the band?

Answer: There room 200 members in the band.

How To: The smaller sized "Part" in this problem is 70 due to the fact that there are 70 flute players and we are told that they make up 35 percent that the band, therefore the "Percent" is 35.

Again, it"s the "Total" that"s lacking here, and also to uncover it, we just need to follow our 2 step procedure together the vault problem.

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

70 × 100 = 7000

For step two, we divide that 7000 by the "Percent", i beg your pardon is 35.

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7000 divided by 35 equates to 200

That means that the total number of band members is 200.

Have time and want to learn the calculation?

Let"s i think the unknown value is Y

First creating it as: 100% / Y = 35% / 70

Drop the percent marks to leveling your calculations: 100 / Y = 35 / 70

Multiply both political parties by Y to relocate Y top top the ideal side that the equation: 100 = ( 35 / 70 ) Y