Question 44: What is the formula to figure out the percentage? Example 75=?% of 98.. Found 4 solutions by spacewolf, KMST, MathTherapy, ikleyn:Answer by spacewolf(2) (Show Source):
You can put this solution on YOUR website! When the word "percent" is used, it just means a certain number out of "100" and its u. The general formula for solving percents is the following:
percent = x/100
Here's how you figure out a percent value based on the example you mentioned in your question, "What percent of 98 is 75?":
"98" is your starting number
"75" is the amount out 98 that you have
"x/100" is going to be the percent value
98 * (x/100) = 75 {In math, the general rule is that when you hear the word "of", multiplication is usually involved}
95x = 75*100
x = 7500/95
x = 78.95
Presto: "75" is approximately 79% of "98". Hope this helps.
You can put this solution on YOUR website! Math is about understanding concepts, not about memorizing formulas.
A percentage is a way of expressing the ratio between two numbers.
Many RATIOs can also be expressed as RATIOnal numbers, also called fractions.
What fraction of 98 is 75?
It is , of course.
We can divide 75 by 98 to try to express it as a decimal.
We get a never-ending decimal that starts with 0.7653 . that is 76.53 out of 100 or .
What is the formula to figure out the percentage? Example 75=?% of 98..
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No specfic formula exists for this type of problem, per se. However, it can be solved using any of the following:
Creating an equation, by writing EXACTLY what's stated. In other words,
75 = ?% of 98
---- Substituing for ?%, and * (times) for "of"
49? = 75(50) --- Cross-multiplying
Percent of 98 that's equal to 75, or
Use your calculator to determine the answer, in decimal form.
OR = OR =
The SAME answer will emerge!!
You can put this solution on YOUR website! .
What is the formula to figure out the percentage? Example 75=?% of 98.
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For this example, the algorithm is as follows:
To find the percentage, take 75 and divide by 98; then multiply this ratio by 100.
So, the final formula is
percentage = = use your calculator = 76.53% (rounded to two decimal places).
In such problems, the number 98 is called "the base"; the number 75 is "an input number";
the formula for the percentage is (I repeat it again)
percentage = = = 76.53% (rounded to two decimal places).
Solved, answered, and explained.
Memorize this formula and the algorithm: it is very basic knowledge for problems/questions on percentage.
In wording form, this formula/algorithm sounds this way:
take the input number; divide it on the base number; then multiply the ratio by 100.
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How to find the percentage, when the input number and the base are given ?
Take the input number; divide it by the base number
and multiply this ratio by 100.
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