Solution for 42 is what percent of 120:
42:120*100 =
(42*100):120 =
4200:120 = 35
Now we have: 42 is what percent of 120 = 35
Question: 42 is what percent of 120?
Percentage solution with steps:
Step 1: We make the assumption that 120 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\%=120$100%=120.
Step 4: In the same vein, $x\%=42$x%=42.
Step 5: This gives us a pair of simple equations:
$100\%=120(1)$100%=120(1).
$x\%=42(2)$x%=42(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
$\frac{100\%}{x\%}=\frac{120}{42}$
100%
x%=
120
42
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{42}{120}$
x%
100%=
42
120
$\Rightarrow x=35\%$⇒x=35%
Therefore, $42$42 is $35\%$35% of $120$120.