120 is 74 percent of what number

Step-by-step explanation:

let the number =x

74% of x=120

x=120×(100/74)=6000/37=

37)6000 ( 162

    37

  -

     230

     222

   -

   

          80

          74

         -

       

             6

x=162 6/37

or =162.162162...

Since Lucy's mom needs to pay for a little bit of work she did, there could two ways her mom could her such as:
1. Her mom will give her the reimbursement check to encash that would serve as a payment to her.
2. Her mom can encash the check and give her the amount that would compensate her work done.