#### Solution for 97 is what percent of 158:

97:158*100 =

(97*100):158 =

9700:158 = 61.39

Now we have: 97 is what percent of 158 = 61.39

Question: 97 is what percent of 158?

Percentage solution with steps:

Step 1: We make the assumption that 158 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\%}={158}.

Step 4: In the same vein, {x\%}={97}.

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

{100\%}={158}(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{158}{97}

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

\frac{x\%}{100\%}=\frac{97}{158}

\Rightarrow{x} = {61.39\%}

Therefore, {97} is {61.39\%} of {158}.

#### Solution for 158 is what percent of 97:

158:97*100 =

(158*100):97 =

15800:97 = 162.89

Now we have: 158 is what percent of 97 = 162.89

Question: 158 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\%}={158}.

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

{100\%}={97}(1).

{x\%}={158}(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}{158}

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

\frac{x\%}{100\%}=\frac{158}{97}

\Rightarrow{x} = {162.89\%}

Therefore, {158} is {162.89\%} of {97}.

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