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Solution for 162 is what percent of 52:

162:52*100 =

(162*100):52 =

16200:52 = 311.54

Now we have: 162 is what percent of 52 = 311.54

Question: 162 is what percent of 52?

Percentage solution with steps:

Step 1: We make the assumption that 52 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\%}={52}.

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

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

{100\%}={52}(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{52}{162}

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

\frac{x\%}{100\%}=\frac{162}{52}

\Rightarrow{x} = {311.54\%}

Therefore, {162} is {311.54\%} of {52}.

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Solution for 52 is what percent of 162:

52:162*100 =

(52*100):162 =

5200:162 = 32.1

Now we have: 52 is what percent of 162 = 32.1

Question: 52 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\%}={52}.

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

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

{x\%}={52}(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}{52}

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

\frac{x\%}{100\%}=\frac{52}{162}

\Rightarrow{x} = {32.1\%}

Therefore, {52} is {32.1\%} of {162}.