#### Solution for 258 is what percent of 522:

258:522*100 =

(258*100):522 =

25800:522 = 49.43

Now we have: 258 is what percent of 522 = 49.43

Question: 258 is what percent of 522?

Percentage solution with steps:

Step 1: We make the assumption that 522 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\%}={522}.

Step 4: In the same vein, {x\%}={258}.

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

{100\%}={522}(1).

{x\%}={258}(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{522}{258}

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

\frac{x\%}{100\%}=\frac{258}{522}

\Rightarrow{x} = {49.43\%}

Therefore, {258} is {49.43\%} of {522}.

#### Solution for 522 is what percent of 258:

522:258*100 =

(522*100):258 =

52200:258 = 202.33

Now we have: 522 is what percent of 258 = 202.33

Question: 522 is what percent of 258?

Percentage solution with steps:

Step 1: We make the assumption that 258 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\%}={258}.

Step 4: In the same vein, {x\%}={522}.

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

{100\%}={258}(1).

{x\%}={522}(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{258}{522}

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

\frac{x\%}{100\%}=\frac{522}{258}

\Rightarrow{x} = {202.33\%}

Therefore, {522} is {202.33\%} of {258}.

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