Step by step solution for calculating 17 is 25 percent that what number

We already have our very first value 17 and also the 2nd value 25. Let"s i think the unknown value is Y i beg your pardon answer we will discover out.

You are watching: 17 is what percent of 25

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

STEP 117 = 25% × Y

STEP 217 = 25/100× Y

Multiplying both sides by 100 and dividing both political parties of the equation by 25 we will certainly arrive at:

STEP 3Y = 17 × 100/25

STEP 4Y = 17 × 100 ÷ 25

STEP 5Y = 68

Finally, us have found the value of Y which is 68 and that is ours answer.

You can conveniently calculate 17 is 25 percent of what number by using any type of regular calculator, simply get in 17 × 100 ÷ 25 and also you will acquire your answer i m sorry is 68


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Sample questions, answers, and how to

Question: your friend has actually a bag that marbles, and he speak you that 25 percent of the marbles room red. If there are 17 red marbles. How countless marbles go he have altogether?

Answer: 68 marbles.

How To: In this problem, we recognize that the Percent is 25, and we are also told that the component of the marbles is red, so we understand that the component is 17.

So, that way that it must be the total that"s missing. Below is the way to figure out what the total is:

Part/Total = Percent/100

By making use of a straightforward algebra we can re-arrange ours Percent equation prefer this:

Part × 100/Percent = Total

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

Let"s try it out on our problem around the marbles, that"s very an easy and it"s just two steps! We know that the "Part" (red marbles) is 17.

So step one is to just multiply that component by 100.

17 × 100 = 1700

In step two, we take that 1700 and also divide it by the "Percent", which we are told is 25.

So, 1700 separated by 25 = 68

And that means that the total number of marbles is 68.

Question: A high institution marching band has actually 17 flute players, If 25 percent the the band members beat the flute, climate how countless members space in the band?

Answer: There space 68 members in the band.

How To: The smaller sized "Part" in this trouble is 17 because there room 17 flute players and also we space told the they comprise 25 percent of the band, for this reason the "Percent" is 25.

Again, it"s the "Total" that"s missing here, and to discover it, we just need to monitor our 2 action procedure together the vault problem.

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

17 × 100 = 1700

For action two, we division that 1700 by the "Percent", i m sorry is 25.

See more: 3 Geometric Solids With Circular Cross Sections, Pi Day Scavenger Hunt

1700 split by 25 equates to 68

That method that the total number of band members is 68.

Another step by step method

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

Step 2: very first writing it as: 100% / Y = 25% / 17

Step 3: autumn the portion marks to simplify your calculations: 100 / Y = 25 / 17

Step 4: main point both sides by Y to move Y top top the appropriate side the the equation: 100 = ( 25 / 17 ) Y

Step 5: simple the best side, we get: 100 = 25 Y

Step 6: splitting both sides of the equation through 25, we will certainly arrive at 68 = Y

This leaves us with our last answer: 17 is 25 percent of 68


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