Step by step solution for calculating 33 is 30 percent of what number

We currently have our very first value 33 and also the second value 30. Let"s assume the unknown worth is Y i beg your pardon answer us will uncover out.

You are watching: 110% of what number is 33

As we have actually all the compelled values us need, currently we have the right to put lock in a straightforward mathematical formula together below:

STEP 133 = 30% × Y

STEP 233 = 30/100× Y

Multiplying both political parties by 100 and also dividing both political parties of the equation through 30 we will arrive at:

STEP 3Y = 33 × 100/30

STEP 4Y = 33 × 100 ÷ 30

STEP 5Y = 110

Finally, us have uncovered the worth of Y i m sorry is 110 and that is our answer.

You can conveniently calculate 33 is 30 percent of what number by using any type of regular calculator, simply enter 33 × 100 ÷ 30 and you will get your answer i m sorry is 110


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Sample questions, answers, and also how to

Question: her friend has a bag the marbles, and also he speak you that 30 percent that the marbles room red. If there are 33 red marbles. How plenty of marbles go he have altogether?

Answer: 110 marbles.

How To: In this problem, we know that the Percent is 30, and also we are likewise told that the component of the marbles is red, so we know that the part is 33.

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

Part/Total = Percent/100

By making use of a simple algebra we have the right to re-arrange our Percent equation like this:

Part × 100/Percent = Total

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

Let"s try it out on ours problem around the marbles, that"s very straightforward and it"s simply two steps! We recognize that the "Part" (red marbles) is 33.

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

33 × 100 = 3300

In step two, we take the 3300 and also divide it by the "Percent", i m sorry we space told is 30.

So, 3300 split by 30 = 110

And that method that the total variety of marbles is 110.

Question: A high institution marching band has actually 33 flute players, If 30 percent the the band members pat the flute, climate how countless members are in the band?

Answer: There room 110 members in the band.

How To: The smaller "Part" in this difficulty is 33 because there space 33 flute players and we room told that they consist of 30 percent that the band, for this reason the "Percent" is 30.

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

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

33 × 100 = 3300

For step two, we divide that 3300 through the "Percent", i m sorry is 30.

See more: How Many Pi Bonds In Benzene ? The Number Of Sigma And Pi Bonds In Benzene Are:

3300 split by 30 amounts to 110

That means that the total variety of band members is 110.

Another step by action method

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

Step 2: first writing that as: 100% / Y = 30% / 33

Step 3: drop the portion marks to leveling your calculations: 100 / Y = 30 / 33

Step 4: multiply both political parties by Y to move Y ~ above the ideal side that the equation: 100 = ( 30 / 33 ) Y

Step 5: simplifying the best side, we get: 100 = 30 Y

Step 6: splitting both political parties of the equation through 30, we will certainly arrive in ~ 110 = Y

This leaves us through our final answer: 33 is 30 percent that 110


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