If the original prize was x then what happened was that
114%x=165
or
[tex] \frac{114}{100} [/tex]x=165
so we have to mupliply both sides by 100:
114x=16500
and divide by 114:
x=[tex] \frac{16500}{114} [/tex]=[tex] \frac{8250}{57} [/tex]=144[tex] \frac{42}{57} [/tex]
