#### Solution for 42 is what percent of 399:

42:399*100 =

(42*100):399 =

4200:399 = 10.53

Now we have: 42 is what percent of 399 = 10.53

Question: 42 is what percent of 399?

Percentage solution with steps:

Step 1: We make the assumption that 399 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\%}={399}.

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

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

{100\%}={399}(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{399}{42}

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

\frac{x\%}{100\%}=\frac{42}{399}

\Rightarrow{x} = {10.53\%}

Therefore, {42} is {10.53\%} of {399}.

#### Solution for 399 is what percent of 42:

399:42*100 =

(399*100):42 =

39900:42 = 950

Now we have: 399 is what percent of 42 = 950

Question: 399 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\%}={399}.

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

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

{x\%}={399}(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}{399}

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

\frac{x\%}{100\%}=\frac{399}{42}

\Rightarrow{x} = {950\%}

Therefore, {399} is {950\%} of {42}.

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