Step by step solution for calculating 136 is 85 percent the what number

We already have our first value 136 and also the 2nd value 85. Let"s i think the unknown worth is Y i m sorry answer we will discover out.

You are watching: 85% of what number is 136

As we have all the required values us need, currently we can put them in a basic mathematical formula as below:

STEP 1136 = 85% × Y

STEP 2136 = 85/100× Y

Multiplying both political parties by 100 and dividing both sides of the equation through 85 we will arrive at:

STEP 3Y = 136 × 100/85

STEP 4Y = 136 × 100 ÷ 85

STEP 5Y = 160

Finally, us have uncovered the worth of Y i beg your pardon is 160 and also that is ours answer.

You can easily calculate 136 is 85 percent the what number by using any regular calculator, simply go into 136 × 100 ÷ 85 and you will obtain your answer i m sorry is 160


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Sample questions, answers, and how to

Question: your friend has actually a bag of marbles, and he speak you that 85 percent the the marbles are red. If there room 136 red marbles. How plenty of marbles walk he have altogether?

Answer: 160 marbles.

How To: In this problem, we recognize that the Percent is 85, and also we are likewise told the the component of the marbles is red, so we know that the component is 136.

So, that way that it need to be the full that"s missing. Right here is the method to number out what the full is:

Part/Total = Percent/100

By using a an easy algebra we deserve to re-arrange our Percent equation prefer this:

Part × 100/Percent = Total

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

Let"s shot it the end on ours problem around the marbles, that"s very an easy and it"s simply two steps! We recognize that the "Part" (red marbles) is 136.

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

136 × 100 = 13600

In step two, we take the 13600 and divide that by the "Percent", i beg your pardon we room told is 85.

So, 13600 separated by 85 = 160

And that means that the total variety of marbles is 160.

Question: A high school marching band has 136 flute players, If 85 percent of the tape members beat the flute, then how many members room in the band?

Answer: There room 160 members in the band.

How To: The smaller sized "Part" in this problem is 136 due to the fact that there are 136 flute players and also we room told the they comprise 85 percent of the band, for this reason the "Percent" is 85.

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

For step one, us multiply the "Part" through 100.

136 × 100 = 13600

For action two, we divide that 13600 by the "Percent", i beg your pardon is 85.

See more: How To Change 2011 Jeep Wrangler Rear Wiper Blade Size Chart

13600 separated by 85 equates to 160

That method that the total number of band members is 160.

Another step by step method

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

Step 2: very first writing it as: 100% / Y = 85% / 136

Step 3: autumn the portion marks to leveling your calculations: 100 / Y = 85 / 136

Step 4: multiply both sides by Y to move Y ~ above the right side that the equation: 100 = ( 85 / 136 ) Y

Step 5: simplifying the best side, us get: 100 = 85 Y

Step 6: dividing both sides of the equation by 85, we will certainly arrive in ~ 160 = Y

This leaves us with our last answer: 136 is 85 percent the 160


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