85 % of 200 = 0.85 (200) = 170
7.5 % of x = 85 % of 200
7.5 % of x = 170
[tex] \frac{7.5}{100}= \frac{170}{x} [/tex]
Cross multiply
7.5 (x) = 170(100)
7.5(x) = 17,000
To find the value of x, divide both side by 7.5
[tex] \frac{7.5x}{7.5}= \frac{17000}{7.5} [/tex]
x= 17,000/7.5
x = 2266.66
7.5% of 2266.66 is equal to 85% of 200