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Solution for 338 is what percent of 385:

338:385*100 =

(338*100):385 =

33800:385 = 87.79

Now we have: 338 is what percent of 385 = 87.79

Question: 338 is what percent of 385?

Percentage solution with steps:

Step 1: We make the assumption that 385 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\%}={385}.

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

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

{100\%}={385}(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{385}{338}

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

\frac{x\%}{100\%}=\frac{338}{385}

\Rightarrow{x} = {87.79\%}

Therefore, {338} is {87.79\%} of {385}.

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Solution for 385 is what percent of 338:

385:338*100 =

(385*100):338 =

38500:338 = 113.91

Now we have: 385 is what percent of 338 = 113.91

Question: 385 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\%}={385}.

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

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

{x\%}={385}(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}{385}

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

\frac{x\%}{100\%}=\frac{385}{338}

\Rightarrow{x} = {113.91\%}

Therefore, {385} is {113.91\%} of {338}.