Formula to solve for variable X

Hello all. Nice to meet you.

I have a bit of a kerfuffle as I believe the payroll department for an ophthalmologist I work for is miscalculating my pay. Therefore, I need a formula that will help me solve how many hours I worked for a given pay period; however, the only information I have is my gross pay and my hourly rate. Hence, my pay stubs fail to display my hours worked. Thus, I need to solve for X where X = hours worked. For example, in the following situation I have:

$850.00 Gross Pay

$16.00 Hourly Rate

So, when we divide Gross Pay by Hourly Rate we come up with 53.125 hours worked. Yet, I worked 55 hours his pay period, and I know that because I got paid yesterday, so I know this is wrong. Unfortunately though, for the past 6 years of pay, I cannot recall how many hours I worked each pay period and I have no records of my time cards. I am sure my employer does, but I am not going to start snooping around just yet. I want to apply this formula to all my pay stubs first.

Moreover, I only have stubs that reflect Gross Pay and Hourly Rate, so again, I need to solve for X where X = hours worked.

If anyone has a formula for this, please help (Thinking)

Thank you kindly.

Re: Formula to solve for variable X

Your calculation is correct, just apply the same formula for all your paystubs. The total number of hours worked, or, hours worked in each pay period can be got like this. (Smile)

Salahuddin

Maths online

Re: Formula to solve for variable X

Thank you kindly, Salahuddin559. Yet, as my post states "I do not have the number of hours worked". Hence, I need to figure that out for X.

Thanks.

Re: Formula to solve for variable X

I think that is outside the purview of math.

Salahuddin

Maths online