#### Solution for 225 is what percent of 362:

225:362*100 =

(225*100):362 =

22500:362 = 62.15

Now we have: 225 is what percent of 362 = 62.15

Question: 225 is what percent of 362?

Percentage solution with steps:

Step 1: We make the assumption that 362 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\%}={362}.

Step 4: In the same vein, {x\%}={225}.

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

{100\%}={362}(1).

{x\%}={225}(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{362}{225}

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

\frac{x\%}{100\%}=\frac{225}{362}

\Rightarrow{x} = {62.15\%}

Therefore, {225} is {62.15\%} of {362}.

#### Solution for 362 is what percent of 225:

362:225*100 =

(362*100):225 =

36200:225 = 160.89

Now we have: 362 is what percent of 225 = 160.89

Question: 362 is what percent of 225?

Percentage solution with steps:

Step 1: We make the assumption that 225 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\%}={225}.

Step 4: In the same vein, {x\%}={362}.

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

{100\%}={225}(1).

{x\%}={362}(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{225}{362}

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

\frac{x\%}{100\%}=\frac{362}{225}

\Rightarrow{x} = {160.89\%}

Therefore, {362} is {160.89\%} of {225}.

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