Answer:
29.89%
Step-by-step explanation:
Step 1: We assume that 435 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]$100\%=435$[/tex].
Step 4: In the same vein, [tex]$x\%=130$[/tex].
Step 5: This gives us a pair of simple equations:
[tex]100\%=435(1)\\\\x\%=130(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]$\frac{100\%}{x\%}=\frac{435}{130}$[/tex]
Step 7: Taking the inverse (or reciprocal) of both sides yields
[tex]\frac{x\%}{100\%}=\frac{130}{435}\\\\\Rightarrow x=29.89\%[/tex]
Therefore, [tex]$130$[/tex] is [tex]$29.89\%$[/tex] of [tex]$435$[/tex].
