Step by action solution for calculating 450 is 75 percent that what number

We currently have our first value 450 and also the second value 75. Let"s i think the unknown value is Y i m sorry answer us will discover out.

You are watching: 450 is 75 of what number

As we have actually all the required values we need, currently we deserve to put them in a an easy mathematical formula together below:

STEP 1450 = 75% × Y

STEP 2450 = 75/100× Y

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

STEP 3Y = 450 × 100/75

STEP 4Y = 450 × 100 ÷ 75

STEP 5Y = 600

Finally, we have discovered the value of Y i beg your pardon is 600 and that is our answer.

You can quickly calculate 450 is 75 percent of what number by using any regular calculator, simply enter 450 × 100 ÷ 75 and also you will get your answer i beg your pardon is 600

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Sample questions, answers, and how to

Question: her friend has a bag of marbles, and he tells you that 75 percent the the marbles space red. If there space 450 red marbles. How plenty of marbles walk he have actually altogether?

Answer: 600 marbles.

How To: In this problem, we understand that the Percent is 75, and we are likewise told that the component of the marbles is red, for this reason we know that the part is 450.

So, that way that it need to be the full that"s missing. Below is the method to figure out what the complete is:

Part/Total = Percent/100

By making use of a an easy algebra we have the right to re-arrange our Percent equation choose this:

Part × 100/Percent = Total

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

Let"s try it out on our problem around the marbles, that"s very basic and it"s just two steps! We recognize that the "Part" (red marbles) is 450.

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

450 × 100 = 45000

In step two, we take the 45000 and also divide it by the "Percent", which we are told is 75.

So, 45000 divided by 75 = 600

And that method that the total variety of marbles is 600.

Question: A high school marching band has 450 flute players, If 75 percent the the band members beat the flute, climate how plenty of members space in the band?

Answer: There space 600 members in the band.

How To: The smaller sized "Part" in this problem is 450 since there are 450 flute players and also we room told the they consist of 75 percent the the band, so the "Percent" is 75.

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

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

450 × 100 = 45000

For action two, we division that 45000 through the "Percent", which is 75.

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45000 divided by 75 amounts to 600

That way that the total variety of band members is 600.

Another step by action method

Let"s i think the unknown value is Y

First writing it as: 100% / Y = 75% / 450

Drop the percent marks to simplify your calculations: 100 / Y = 75 / 450

Multiply both political parties by Y to relocate Y top top the right side the the equation: 100 = ( 75 / 450 ) Y