Step-by-step explanation:
128:135*100 =
(128*100):135 =
12800:135 = 94.81
Now we have: 128 is what percent of 135 = 94.81
Question: 128 is what percent of 135?
Percentage solution with steps:
Step 1: We make the assumption that 135 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=135$100%=135.
Step 4: In the same vein, $x\%=128$x%=128.
Step 5: This gives us a pair of simple equations:
$100\%=135(1)$100%=135(1).
$x\%=128(2)$x%=128(2).
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
$\frac{100\%}{x\%}=\frac{135}{128}$100%x%=135128
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{128}{135}$x%100%=128135
$\Rightarrow x=94.81\%$⇒x=94.81%
Therefore, $128$128 is $94.81\%$94.81% of $135$135.
