Step by step solution for calculating 42 is 35 percent of what number

We already have our first value 42 and also the second value 35. Let"s i think the unknown worth is Y which answer we will discover out.

You are watching: 42 is 35 percent of what number

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

STEP 142 = 35% × Y

STEP 242 = 35/100× Y

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

STEP 3Y = 42 × 100/35

STEP 4Y = 42 × 100 ÷ 35

STEP 5Y = 120

Finally, we have uncovered the worth of Y which is 120 and also that is ours answer.

You can conveniently calculate 42 is 35 percent the what number by using any type of regular calculator, simply go into 42 × 100 ÷ 35 and also you will obtain your answer i m sorry is 120


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Sample questions, answers, and how to

Question: your friend has actually a bag that marbles, and also he speak you that 35 percent the the marbles room red. If there are 42 red marbles. How plenty of marbles go he have altogether?

Answer: 120 marbles.

How To: In this problem, we recognize that the Percent is 35, and also we are also told the the component of the marbles is red, therefore we recognize that the part is 42.

So, that means that it need to be the complete that"s missing. Below is the means to figure out what the total is:

Part/Total = Percent/100

By utilizing a straightforward algebra we can re-arrange ours Percent equation choose this:

Part × 100/Percent = Total

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

Let"s shot it the end on our problem around the marbles, that"s very basic and it"s simply two steps! We recognize that the "Part" (red marbles) is 42.

So action one is to just multiply that part by 100.

42 × 100 = 4200

In step two, us take the 4200 and also divide that by the "Percent", i beg your pardon we space told is 35.

So, 4200 separated by 35 = 120

And that means that the total number of marbles is 120.

Question: A high college marching band has 42 flute players, If 35 percent that the band members pat the flute, then how plenty of members room in the band?

Answer: There are 120 members in the band.

How To: The smaller "Part" in this difficulty is 42 since there are 42 flute players and we are told the they comprise 35 percent of the band, so the "Percent" is 35.

Again, it"s the "Total" that"s absent here, and to uncover it, we simply need to follow our 2 action procedure together the previous problem.

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

42 × 100 = 4200

For action two, we divide that 4200 through the "Percent", i m sorry is 35.

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4200 divided by 35 amounts to 120

That method that the total number of band members is 120.

Another step by action method

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

Step 2: very first writing the as: 100% / Y = 35% / 42

Step 3: drop the percentage marks to leveling your calculations: 100 / Y = 35 / 42

Step 4: main point both sides by Y to relocate Y on the ideal side the the equation: 100 = ( 35 / 42 ) Y

Step 5: simple the best side, we get: 100 = 35 Y

Step 6: dividing both sides of the equation by 35, we will arrive in ~ 120 = Y

This leaves us v our final answer: 42 is 35 percent of 120


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