What percent of 120 is 42?
can you show your work, please

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​.

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