## Step by action solution for calculating 52 is 65 percent of what number

We already have our first value 52 and also the 2nd value 65. Let"s i think the unknown value is Y i beg your pardon answer us will discover out.

You are watching: 52 is 65 of what number

As we have all the required values we need, currently we deserve to put castle in a basic mathematical formula together below:

STEP 1 52 = 65% × Y

STEP 2 52 = 65/100× Y

Multiplying both sides by 100 and dividing both political parties of the equation through 65 we will arrive at:

STEP 3 Y = 52 × 100/65

STEP 4 Y = 52 × 100 ÷ 65

STEP 5 Y = 80

Finally, us have found the value of Y i beg your pardon is 80 and also that is our answer.

You can quickly calculate 52 is 65 percent that what number by using any type of regular calculator, simply go into 52 × 100 ÷ 65 and you will gain your answer which is 80

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## Sample questions, answers, and also how to

Question: your friend has actually a bag of marbles, and he tells you that 65 percent the the marbles space red. If there space 52 red marbles. How countless marbles walk he have actually altogether?

How To: In this problem, we know that the Percent is 65, and also we are likewise told that the part of the marbles is red, for this reason we understand that the part is 52.

So, that way that it need to be the complete that"s missing. Here is the method to number out what the total is:

Part/Total = Percent/100

By utilizing a an easy algebra we have the right to re-arrange our Percent equation prefer this:

Part × 100/Percent = Total

If we take the "Part" and also multiply that 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 basic and it"s just two steps! We know that the "Part" (red marbles) is 52.

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

52 × 100 = 5200

In step two, us take the 5200 and divide the by the "Percent", i beg your pardon we are told is 65.

So, 5200 split by 65 = 80

And that method that the total variety of marbles is 80.

Question: A high school marching band has actually 52 flute players, If 65 percent the the tape members pat the flute, climate how plenty of members space in the band?

Answer: There room 80 members in the band.

How To: The smaller sized "Part" in this trouble is 52 due to the fact that there room 52 flute players and we space told that they make up 65 percent the the band, therefore the "Percent" is 65.

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

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

52 × 100 = 5200

For action two, we division that 5200 through the "Percent", i beg your pardon is 65.

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5200 divided by 65 equals 80

That method that the total variety of band members is 80.

## Have time and also want to find out the calculation?

Let"s i think the unknown worth is Y

First writing it as: 100% / Y = 65% / 52

Drop the portion marks to simplify your calculations: 100 / Y = 65 / 52

Multiply both political parties by Y to move Y ~ above the right side the the equation: 100 = ( 65 / 52 ) Y