formula manipulation

[account39]

I have a formula,
w = 1 / ( ( p / c ) + 1 ) x 100
but I need a formula for
p
and I don't know how to manipulate this
can you help me?
Thanks

thanks but I don't know how to finish it, I'm an old guy

 

[Deleted member 4993]

I have a formula,
w = 1 / ( ( p / c ) + 1 ) x 100
but I need a formula for
p
and I don't know how to manipulate this
can you help me?
Thanks

so we have:

\(\displaystyle w \, = \, \frac{100}{\frac{p}{c}+1}\)

isolate 'p' to the left-hand-side

\(\displaystyle \frac{p}{c}+1 \, = \, \frac{100}{w}\)

isolating further

\(\displaystyle \frac{p}{c} \, = \, \frac{100}{w} \, - \, 1\)

\(\displaystyle \frac{p}{c} \, = \, \frac{100 \, - \, w}{w} \,\)

now finish it......