#### Solution for 258 is what percent of 97:

258:97*100 =

(258*100):97 =

25800:97 = 265.98

Now we have: 258 is what percent of 97 = 265.98

Question: 258 is what percent of 97?

Percentage solution with steps:

Step 1: We make the assumption that 97 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\%}={97}.

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

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

{100\%}={97}(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{97}{258}

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

\frac{x\%}{100\%}=\frac{258}{97}

\Rightarrow{x} = {265.98\%}

Therefore, {258} is {265.98\%} of {97}.

#### Solution for 97 is what percent of 258:

97:258*100 =

(97*100):258 =

9700:258 = 37.6

Now we have: 97 is what percent of 258 = 37.6

Question: 97 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\%}={97}.

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

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

{x\%}={97}(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}{97}

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

\frac{x\%}{100\%}=\frac{97}{258}

\Rightarrow{x} = {37.6\%}

Therefore, {97} is {37.6\%} of {258}.

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