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Solution for 162 is what percent of 395:

162:395*100 =

(162*100):395 =

16200:395 = 41.01

Now we have: 162 is what percent of 395 = 41.01

Question: 162 is what percent of 395?

Percentage solution with steps:

Step 1: We make the assumption that 395 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\%}={395}.

Step 4: In the same vein, {x\%}={162}.

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

{100\%}={395}(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{395}{162}

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

\frac{x\%}{100\%}=\frac{162}{395}

\Rightarrow{x} = {41.01\%}

Therefore, {162} is {41.01\%} of {395}.

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Solution for 395 is what percent of 162:

395:162*100 =

(395*100):162 =

39500:162 = 243.83

Now we have: 395 is what percent of 162 = 243.83

Question: 395 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\%}={395}.

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

{100\%}={162}(1).

{x\%}={395}(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}{395}

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

\frac{x\%}{100\%}=\frac{395}{162}

\Rightarrow{x} = {243.83\%}

Therefore, {395} is {243.83\%} of {162}.