Answer:
[tex]h_{without heels} = h_{with heels} \cdot 0,96[/tex]
and
[tex]h_{withheels} = \frac{1}{0,96} \cdot h_{withoutheels}[/tex]
Step-by-step explanation:
Straight forward from heels to without heels -> times 0,96
The factor 0,96 comes from: (1-4%) = (1-4/100) = (1-0,04) = 0,96
e.g. [tex]190*0,96 = 182,4cm[/tex]
When going back from without heels to with heels you have to "think the other way round", simply solving the following equation for [tex]h_{withheels}[/tex]
from this:
[tex]h_{withheels} * 0,96 = h_{withoutheels}[/tex]
to that:
[tex]h_{withheels} = \frac{1}{0,96} \cdot h_{withoutheels}[/tex]
Here your factor will be 1/0,96 = 1,0416....
Easy test:
[tex]h_{withheels} = 190cm\\h_{without heels} = 190 \cdot 0,96 = 182,4cm\\h_{withheels} = h_{without heels} \cdot \frac{1}{0,96} = 190cm[/tex]
