#### Solution for 67 is what percent of 338:

67:338*100 =

(67*100):338 =

6700:338 = 19.82

Now we have: 67 is what percent of 338 = 19.82

Question: 67 is what percent of 338?

Percentage solution with steps:

Step 1: We make the assumption that 338 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\%}={338}.

Step 4: In the same vein, {x\%}={67}.

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

{100\%}={338}(1).

{x\%}={67}(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{338}{67}

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

\frac{x\%}{100\%}=\frac{67}{338}

\Rightarrow{x} = {19.82\%}

Therefore, {67} is {19.82\%} of {338}.

#### Solution for 338 is what percent of 67:

338:67*100 =

(338*100):67 =

33800:67 = 504.48

Now we have: 338 is what percent of 67 = 504.48

Question: 338 is what percent of 67?

Percentage solution with steps:

Step 1: We make the assumption that 67 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\%}={67}.

Step 4: In the same vein, {x\%}={338}.

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

{100\%}={67}(1).

{x\%}={338}(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{67}{338}

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

\frac{x\%}{100\%}=\frac{338}{67}

\Rightarrow{x} = {504.48\%}

Therefore, {338} is {504.48\%} of {67}.

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