Step by step solution for calculating 75 is 60 percent the what number
We currently have our very first value 75 and the second value 60. Let"s i think the unknown worth is Y i beg your pardon answer us will uncover out.
You are watching: 60 is 75 percent of what number
As we have actually all the forced values we need, now we have the right to put them in a simple mathematical formula as below:
STEP 175 = 60% × Y
STEP 275 = 60/100× Y
Multiplying both sides by 100 and also dividing both sides of the equation through 60 we will certainly arrive at:
STEP 3Y = 75 × 100/60
STEP 4Y = 75 × 100 ÷ 60
STEP 5Y = 125
Finally, we have found the worth of Y i m sorry is 125 and also that is our answer.
You can conveniently calculate 75 is 60 percent that what number by using any kind of regular calculator, simply enter 75 × 100 ÷ 60 and you will obtain your answer i m sorry is 125
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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 60 percent of the marbles are red. If there are 75 red marbles. How numerous marbles does he have altogether?
Answer: 125 marbles.
How To: In this problem, we know that the Percent is 60, and we are also told the the component of the marbles is red, for this reason we know that the component is 75.
So, that means that it should be the complete that"s missing. Here is the way to number out what the full is:
Part/Total = Percent/100
By making use of a straightforward algebra we can re-arrange our Percent equation like this:
Part × 100/Percent = Total
If us take the "Part" and also multiply the by 100, and then we divide that by the "Percent", we will gain the "Total".
Let"s try it the end on our problem around the marbles, that"s very straightforward and it"s just two steps! We recognize that the "Part" (red marbles) is 75.
So action one is to just multiply that component by 100.
75 × 100 = 7500
In step two, us take that 7500 and divide that by the "Percent", i beg your pardon we space told is 60.
So, 7500 split by 60 = 125
And that means that the total number of marbles is 125.
Question: A high college marching band has 75 flute players, If 60 percent that the band members beat the flute, climate how many members room in the band?
Answer: There space 125 members in the band.
How To: The smaller sized "Part" in this problem is 75 due to the fact that there room 75 flute players and we room told that they comprise 60 percent the the band, for this reason the "Percent" is 60.
Again, it"s the "Total" that"s lacking here, and to uncover it, we just need to monitor our 2 step procedure together the previous problem.
For step one, we multiply the "Part" by 100.
75 × 100 = 7500
For action two, we divide that 7500 by the "Percent", which is 60.
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7500 divided by 60 amounts to 125
That way that the total variety of band members is 125.
Another step by action method
Step 1: Let"s assume the unknown worth is Y
Step 2: first writing the as: 100% / Y = 60% / 75
Step 3: drop the percent marks to simplify your calculations: 100 / Y = 60 / 75
Step 4: main point both political parties by Y to move Y on the best side that the equation: 100 = ( 60 / 75 ) Y
Step 5: simplifying the appropriate side, us get: 100 = 60 Y
Step 6: dividing both sides of the equation by 60, we will certainly arrive at 125 = Y
This pipeline us v our final answer: 75 is 60 percent that 125
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