Step by step solution because that calculating 70 is 40 percent of what number

We currently have our very first value 70 and also the second value 40. Let"s assume the unknown value is Y i m sorry answer we will uncover out.

You are watching: 70 is 40 of what number

As we have all the required values we need, now we deserve to put lock in a straightforward mathematical formula together below:

STEP 170 = 40% × Y

STEP 270 = 40/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 40 we will arrive at:

STEP 3Y = 70 × 100/40

STEP 4Y = 70 × 100 ÷ 40

STEP 5Y = 175

Finally, us have found the value of Y i m sorry is 175 and also that is our answer.

You can easily calculate 70 is 40 percent the what number through using any kind of regular calculator, simply enter 70 × 100 ÷ 40 and you will acquire your answer i m sorry is 175


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Sample questions, answers, and how to

Question: your friend has a bag of marbles, and he tells you that 40 percent the the marbles room red. If there room 70 red marbles. How countless marbles does he have actually altogether?

Answer: 175 marbles.

How To: In this problem, we understand that the Percent is 40, and also we are additionally told that the component of the marbles is red, so we know that the part is 70.

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

Part/Total = Percent/100

By utilizing a an easy algebra we have the right to re-arrange our Percent equation favor this:

Part × 100/Percent = Total

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

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

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

70 × 100 = 7000

In step two, we take that 7000 and divide it by the "Percent", i beg your pardon we space told is 40.

So, 7000 split by 40 = 175

And that means that the total variety of marbles is 175.

Question: A high school marching band has actually 70 flute players, If 40 percent that the tape members play the flute, climate how many members space in the band?

Answer: There are 175 members in the band.

How To: The smaller sized "Part" in this difficulty is 70 since there are 70 flute players and also we room told the they make up 40 percent that the band, for this reason the "Percent" is 40.

Again, it"s the "Total" that"s lacking here, and also to discover it, we simply need to follow our 2 action procedure together the vault problem.

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

70 × 100 = 7000

For action two, we divide that 7000 by the "Percent", i m sorry is 40.

See more: English Phrase: How Have You Been Doing Meaning, 5 Common Answers To This Question

7000 divided by 40 amounts to 175

That method that the total variety of band members is 175.

Another action by action method

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

Step 2: an initial writing it as: 100% / Y = 40% / 70

Step 3: drop the percentage marks to leveling your calculations: 100 / Y = 40 / 70

Step 4: multiply both sides by Y to relocate Y ~ above the right side the the equation: 100 = ( 40 / 70 ) Y

Step 5: simplifying the appropriate side, we get: 100 = 40 Y

Step 6: dividing both sides of the equation by 40, we will arrive in ~ 175 = Y

This pipeline us with our last answer: 70 is 40 percent the 175


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