By the end of the 8th grade Eva had performed in 36 dance recitals. That was equal to 82% of all the recitals that she attended. How many recitals did Eva attend by end of the 8th grade?

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Some algebraic problems will ask you to find an unknown percentage increase or an unknown percentage decrease between two known factors. An unknown factor is a variable.  

When asked to find a percentage increase or decrease, use the following formula:
The % increase or decrease = the difference between the known factors divided by the base factor.  Now let’s work this out in a practice problem below.
 


By the end of the 8th grade Eva had performed in 36 dance recitals. That was equal to 82% of all the recitals that she attended. How many recitals did Eva attend by end of the 8th grade?