#### Solution for 162 is what percent of 261:

162:261*100 =

(162*100):261 =

16200:261 = 62.07

Now we have: 162 is what percent of 261 = 62.07

Question: 162 is what percent of 261?

Percentage solution with steps:

Step 1: We make the assumption that 261 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\%}={261}.

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

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

{100\%}={261}(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{261}{162}

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

\frac{x\%}{100\%}=\frac{162}{261}

\Rightarrow{x} = {62.07\%}

Therefore, {162} is {62.07\%} of {261}.

#### Solution for 261 is what percent of 162:

261:162*100 =

(261*100):162 =

26100:162 = 161.11

Now we have: 261 is what percent of 162 = 161.11

Question: 261 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\%}={261}.

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

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

{x\%}={261}(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}{261}

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

\frac{x\%}{100\%}=\frac{261}{162}

\Rightarrow{x} = {161.11\%}

Therefore, {261} is {161.11\%} of {162}.

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