Solution for 330 is what percent of 42:

330:42*100 =

(330*100):42 =

33000:42 = 785.71

Now we have: 330 is what percent of 42 = 785.71

Question: 330 is what percent of 42?

Percentage solution with steps:

Step 1: We make the assumption that 42 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={42}.

Step 4: In the same vein, {x\%}={330}.

Step 5: This gives us a pair of simple equations:

{100\%}={42}(1).

{x\%}={330}(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{42}{330}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{330}{42}

\Rightarrow{x} = {785.71\%}

Therefore, {330} is {785.71\%} of {42}.

Solution for 42 is what percent of 330:

42:330*100 =

(42*100):330 =

4200:330 = 12.73

Now we have: 42 is what percent of 330 = 12.73

Question: 42 is what percent of 330?

Percentage solution with steps:

Step 1: We make the assumption that 330 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={330}.

Step 4: In the same vein, {x\%}={42}.

Step 5: This gives us a pair of simple equations:

{100\%}={330}(1).

{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{330}{42}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{42}{330}

\Rightarrow{x} = {12.73\%}

Therefore, {42} is {12.73\%} of {330}.

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