Step by action solution because that calculating 105 is 75 percent that what number

We already have our very first value 105 and also the second value 75. Let"s i think the unknown value is Y i m sorry answer we will uncover out.

You are watching: 75 of what number is 105

As we have all the required values us need, now we have the right to put castle in a basic mathematical formula as below:

STEP 1105 = 75% × Y

STEP 2105 = 75/100× Y

Multiplying both sides by 100 and also dividing both sides of the equation through 75 we will certainly arrive at:

STEP 3Y = 105 × 100/75

STEP 4Y = 105 × 100 ÷ 75

STEP 5Y = 140

Finally, us have uncovered the value of Y i m sorry is 140 and also that is ours answer.

You can easily calculate 105 is 75 percent that what number through using any regular calculator, simply enter 105 × 100 ÷ 75 and also you will gain your answer i beg your pardon is 140


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Sample questions, answers, and how to

Question: her friend has a bag the marbles, and also he tells you the 75 percent that the marbles space red. If there room 105 red marbles. How plenty of marbles go he have actually altogether?

Answer: 140 marbles.

How To: In this problem, we know that the Percent is 75, and we are additionally told that the part of the marbles is red, for this reason we know that the part is 105.

So, that means that it have to be the complete that"s missing. Below is the method to number out what the total is:

Part/Total = Percent/100

By utilizing a simple algebra we have the right to re-arrange ours Percent equation prefer this:

Part × 100/Percent = Total

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

Let"s try it out on our problem about the marbles, that"s very an easy and it"s just two steps! We recognize that the "Part" (red marbles) is 105.

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

105 × 100 = 10500

In step two, us take the 10500 and also divide that by the "Percent", i m sorry we space told is 75.

So, 10500 divided by 75 = 140

And that method that the total number of marbles is 140.

Question: A high institution marching band has actually 105 flute players, If 75 percent the the band members pat the flute, climate how plenty of members are in the band?

Answer: There room 140 members in the band.

How To: The smaller "Part" in this problem is 105 due to the fact that there space 105 flute players and also we room told that they comprise 75 percent that the band, therefore the "Percent" is 75.

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

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

105 × 100 = 10500

For step two, we division that 10500 by the "Percent", i m sorry is 75.

See more: And I Want To Thank You For Giving Me The Best Day Of My Life ) Lyrics

10500 separated by 75 equates to 140

That way that the total number of band members is 140.

Another action by step method

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

Step 2: first writing that as: 100% / Y = 75% / 105

Step 3: autumn the portion marks to simplify your calculations: 100 / Y = 75 / 105

Step 4: main point both sides by Y to relocate Y on the ideal side the the equation: 100 = ( 75 / 105 ) Y

Step 5: simplifying the ideal side, we get: 100 = 75 Y

Step 6: splitting both sides of the equation by 75, we will certainly arrive in ~ 140 = Y

This pipeline us with our final answer: 105 is 75 percent that 140


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