Calculate the duration in weeks that it would take to lose a specified amount of body weight (BW), in pounds, given that 1% of body weight is lost exactly each week?
I would like to be able to find this in googlesheets using one formula where it takes an input of desired weight loss and outputs weeks to achieve the weight loss given that 1% of body weight is lost each week.
This means that once the starting weight is known, the 1% weight loss must be recalculated each week such that 1% is calculated based on the new current lower weight.
For the google sheet shown:
A2 = The starting weight of a person that would be typed in manually.
A4 = The desired weight loss of a person that would be typed in manually.
D2 = The formula that will iteratively calculate the time in weeks it would take to lose 1% of body weight per week given that the person is starting at 200 lbs body weight (A2) and would like to lose 20 lbs of body weight (A4)
In I1 through K12, ive shown the manual iterative process that finds how many weeks it would take for the 200 pound person to lose 20 pounds.
By hand what this is doing is the following. Take current weight, find what 1% reduction of weight is, and subtract that 1% reduction from the current weight to get the new weight for the new week. Continue this process until the minimum 20 pound weight reduction is seen and then look at the time value in weeks to know how many weeks it took.
The answer then should be 11 weeks.
How can this be done in one single formula that would output in cell D2?
I appreciate any help received.
My only solution to this currently given that I dont want to see the manual process is to put the manual iterative process in a different sheet (say sheet 2) and then sheet 1 would only ask for the two inputs and give the output. I would just need to make sure the manual iterative calculations span enough time in weeks to ensure all possible desired weight loss possibilities will be accounted for.
