what is 90% of 20 with showing work

what is 90 of 20 with showing work class=

Verified Answer :

Answer is 18
I found it by multiplying 20 by .90

  1. We assume, that the number 20 is 100% - because it's the output value of the task. 
    2. We assume, that x is the value we are looking for. 
    3. If 20 is 100%, so we can write it down as 20=100%. 
    4. We know, that x is 90% of the output value, so we can write it down as x=90%. 
    5. Now we have two simple equations:
    1) 20=100%
    2) x=90%
    where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
    20/x=100%/90%
    6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

    7. Solution for what is 90% of 20

    20/x=100/90
    (20/x)x=(100/90)x       - we multiply both sides of the equation by x
    20=1.11111111111*x       - we divide both sides of the equation by (1.11111111111) to get x
    20/1.11111111111=x 
    18=x 
    x=18
    now we have: 
    90% of 20=18