60 is 75% of x. solve for x

Question

how do you do it!

Answer 1

Translate words to expressions (variables and operators):
     is              =
    percent       fraction (like 3/4) or decimal (like 0.75)
     x                  the variable that represents something (and we want to find its value)
    of              means multiply
 
 
So, 60 is 75% of x
   translates to
      60 = 0.75 * x
      60 = (3/4)x
 
Solving for x,
    x = (4/3)*60
    x = 80
 
Checking:
   60 = (3/4)*80
   60 = 60    YES!

Answer 2

60 is 75% of x

percentage=rate*base

percentage is the "is" number

base is the "of" number

rate is the "%"

60=75%*x

change 75% to a fraction or a decimal

60=0.75*x

60/0.75=x

6000/75=x

80=x, or...

60=(75/100)*x

60=(3/4)*x

(4/3)(60)=(4/3)(3/4)*x

80=x (4*60=240, 240/3=80, and (4/3)(3/4)=1)

Answer 3

x * .75 = 60

-------     ----

   .75        .75

 

x = 60 / .75 or divided by 3/4.

When dividing by a fraction, you flip and multiply.

x = 60 * 4/3

x = 20 * 4/1

x = 20 * 4

x = 80

 

So 60 is 75% of 80.