Answer:
3.2% or [tex]3125\%[/tex] of 3.2
Step-by-step explanation:
Solution for 100 is what percent of 3.2:
100:3.2*100 =
(100*100):3.2 =
10000:3.2 = 3125
Now we have: 100 is what percent of 3.2 = 3125
Step 1: We assume that 3.2 is 100% since it is our output value.
Step 2: We next represent the value we seek with [tex]x.[/tex]
Step 3: From step 1, it follows that [tex]$100\%=3.2$[/tex]
Step 4: In the same vein, [tex]$x\%=100$[/tex].
Step 5: This gives us a pair of simple equations:
[tex]100\%=3.2(1).[/tex]
[tex]x\%=100(2)[/tex]
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left-hand side) of both equations have the same unit (%); we have
[tex]\frac{100\%}{x\%}=\frac{3.2}{100}[/tex]
Step 7: Taking the inverse (or reciprocal) of both sides yields
[tex]\frac{x\%}{100\%}=\frac{100}{3.2}[/tex]
[tex]\Rightarrow x=3125\%[/tex]
Therefore, 100 is [tex]3125\%[/tex] of 3.2.
