Step by action solution for calculating 30 is 75 percent that what number

We currently have our an initial value 30 and the second value 75. Let"s i think the unknown value is Y which answer we will discover out.

You are watching: 30% of what number is 75

As we have actually all the forced values us need, currently we can put them in a straightforward mathematical formula together below:

STEP 130 = 75% × Y

STEP 230 = 75/100× Y

Multiplying both political parties by 100 and dividing both political parties of the equation by 75 we will certainly arrive at:

STEP 3Y = 30 × 100/75

STEP 4Y = 30 × 100 ÷ 75

STEP 5Y = 40

Finally, we have discovered the worth of Y i beg your pardon is 40 and also that is ours answer.

You can conveniently calculate 30 is 75 percent that what number by using any regular calculator, simply enter 30 × 100 ÷ 75 and also you will acquire your answer i m sorry is 40


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Sample questions, answers, and also how to

Question: your friend has actually a bag the marbles, and also he speak you the 75 percent the the marbles space red. If there are 30 red marbles. How countless marbles go he have actually altogether?

Answer: 40 marbles.

How To: In this problem, we understand that the Percent is 75, and also we are also told the the component of the marbles is red, for this reason we recognize that the part is 30.

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

Part/Total = Percent/100

By utilizing a an easy algebra we deserve to re-arrange ours Percent equation choose this:

Part × 100/Percent = Total

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

Let"s try it the end on ours problem about the marbles, that"s very straightforward and it"s just two steps! We recognize that the "Part" (red marbles) is 30.

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

30 × 100 = 3000

In action two, us take the 3000 and also divide the by the "Percent", which we are told is 75.

So, 3000 separated by 75 = 40

And that way that the total number of marbles is 40.

Question: A high institution marching band has 30 flute players, If 75 percent that the band members play the flute, then how plenty of members are in the band?

Answer: There space 40 members in the band.

How To: The smaller sized "Part" in this difficulty is 30 due to the fact that there room 30 flute players and we space told that they consist of 75 percent that the band, for this reason 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 as the ahead problem.

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

30 × 100 = 3000

For step two, we division that 3000 by the "Percent", i m sorry is 75.

See more: What Is The Charge On An Electron? –1 0 +1 +2 What Is The Charge On An Electron

3000 separated by 75 equals 40

That method that the total number of band members is 40.

Another action by step method

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

Step 2: an initial writing the as: 100% / Y = 75% / 30

Step 3: fall the percent marks to leveling your calculations: 100 / Y = 75 / 30

Step 4: multiply both sides by Y to move Y ~ above the appropriate side of the equation: 100 = ( 75 / 30 ) Y

Step 5: simple the right side, us get: 100 = 75 Y

Step 6: dividing both sides of the equation by 75, we will certainly arrive in ~ 40 = Y

This pipeline us through our final answer: 30 is 75 percent the 40


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