80x = 100 therefore x = 100/80
I haven't done much math since high school, so please be patient with me.
100 * 0.8 = 80
80 * X = 100
X is equal to 1.25, which was pretty easy to find after trial and error, but the trial and error process takes a lot longer with something like this:
5,680 * 0.802 = 4555.36
4555.36 * X = 5,680
X is equal to ~1.2468827930174563591022444, but that took forever to find through trial and error. How can I easily find X?
You can take the reciprocal of the number you're replacing. For your example above note that
edit: This is exactly the same as Pickslides' answer. You can multiply my answer by 100/100 to get his
For your second example it will be . Normally we'd just use a calculator to solve for X but you can do it using fractions.
. This will cancel by at least 2.