Step by action solution for calculating 35 is 70 percent of what number

We already have our an initial value 35 and also the 2nd value 70. Let"s i think the unknown worth is Y which answer us will uncover out.

You are watching: 70 percent of what number is 35

As we have all the required values we need, now we can put them in a an easy mathematical formula as below:

STEP 135 = 70% × Y

STEP 235 = 70/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 70 we will arrive at:

STEP 3Y = 35 × 100/70

STEP 4Y = 35 × 100 ÷ 70

STEP 5Y = 50

Finally, us have found the value of Y which is 50 and also that is our answer.

You can quickly calculate 35 is 70 percent of what number through using any type of regular calculator, simply get in 35 × 100 ÷ 70 and also you will acquire your answer which is 50


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Sample questions, answers, and also how to

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

Answer: 50 marbles.

How To: In this problem, we understand that the Percent is 70, and also we are additionally told that the part of the marbles is red, for this reason we know that the part is 35.

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 utilizing a straightforward algebra we deserve to re-arrange ours 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 through 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 simply two steps! We understand that the "Part" (red marbles) is 35.

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

35 × 100 = 3500

In step two, us take the 3500 and also divide it by the "Percent", i m sorry we are told is 70.

So, 3500 split by 70 = 50

And that way that the total variety of marbles is 50.

Question: A high institution marching band has actually 35 flute players, If 70 percent of the tape members play the flute, then how plenty of members space in the band?

Answer: There are 50 members in the band.

How To: The smaller "Part" in this trouble is 35 since there space 35 flute players and we space told the they comprise 70 percent of the band, for this reason the "Percent" is 70.

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

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

35 × 100 = 3500

For step two, we division that 3500 through the "Percent", i beg your pardon is 70.

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3500 separated by 70 amounts to 50

That means that the total number of band members is 50.

Another step by step method

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

Step 2: very first writing that as: 100% / Y = 70% / 35

Step 3: fall the percentage marks to leveling your calculations: 100 / Y = 70 / 35

Step 4: main point both political parties by Y to move Y top top the ideal side of the equation: 100 = ( 70 / 35 ) Y

Step 5: simplifying the ideal side, we get: 100 = 70 Y

Step 6: splitting both political parties of the equation through 70, we will arrive in ~ 50 = Y

This leaves us v our last answer: 35 is 70 percent of 50


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