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Solution for 162 is what percent of 385:

162:385*100 =

(162*100):385 =

16200:385 = 42.08

Now we have: 162 is what percent of 385 = 42.08

Question: 162 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\%}={162}.

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

{100\%}={385}(1).

{x\%}={162}(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}{162}

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

\frac{x\%}{100\%}=\frac{162}{385}

\Rightarrow{x} = {42.08\%}

Therefore, {162} is {42.08\%} of {385}.

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Solution for 385 is what percent of 162:

385:162*100 =

(385*100):162 =

38500:162 = 237.65

Now we have: 385 is what percent of 162 = 237.65

Question: 385 is what percent of 162?

Percentage solution with steps:

Step 1: We make the assumption that 162 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\%}={162}.

Step 4: In the same vein, {x\%}={385}.

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

{100\%}={162}(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{162}{385}

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

\frac{x\%}{100\%}=\frac{385}{162}

\Rightarrow{x} = {237.65\%}

Therefore, {385} is {237.65\%} of {162}.