Alexey Z. answered 07/27/26
Experienced SAT Tutor Substantially Improving Student's Test Score
5 is 100%, so
9 p% 9 * 100
--- = -------- => p = ----------- = 180
5 100% 5
Answer: 180%
Alexey Z. answered 07/27/26
Experienced SAT Tutor Substantially Improving Student's Test Score
5 is 100%, so
9 p% 9 * 100
--- = -------- => p = ----------- = 180
5 100% 5
Answer: 180%
Peter R. answered 10/03/24
Adjunct Lecturer - Math Department - Borough of Manhattan C.C.
You can also use the proportinn method which works for all types of percent problems.
Percent/100 = Is/Of
In thsi problem we don't know the percent (use an x). "Of" is 5 and "Is" is 9. Not necessary to convert result to percent, as the 100 in the denominator does that automatically.
So x/100 = 9/5 v solve by cross-multiplyiing as usual
5x = 900 x = 900/5 = 180%
All percent word problems can be converted to an "Is" "of" format. THen you can just plug the values into the proportion.
Theresa S. answered 08/22/26
Hard working math tutor who helps you understand concepts
Let “what percent” = x% = x/100 and
”is” means equal to. So setting up the equation we get:
x%• 5=9
(x/100)•5=9
Divide both sides by 5, we get:
x/100 =9/5
Multiply both sides by 100, we get:
x=1.8•100
x=180
In the context of percent problems, "of" indicates the base for comparison, which is the denominator. (In other contexts, "of" can be translated as "multiply".)
Similarly, "is 9" indicates the amount to be compared, which is the numerator.
(amount to be compared) / (base for comparison)
= 9 / 5 = 1.8
To convert to percent, realize that each whole number (1) is composed of 100%. In other words, 1 = 100%.
1.8 * ( 100% / 1 ) = 180%
The SAT tests your understanding of math at a deep level, not the basics. So you need to understand that percents are often greater than 100%.
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