#### Solution for 97 is what percent of 177:

97:177*100 =

(97*100):177 =

9700:177 = 54.8

Now we have: 97 is what percent of 177 = 54.8

Question: 97 is what percent of 177?

Percentage solution with steps:

Step 1: We make the assumption that 177 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\%}={177}.

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

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

{100\%}={177}(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{177}{97}

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

\frac{x\%}{100\%}=\frac{97}{177}

\Rightarrow{x} = {54.8\%}

Therefore, {97} is {54.8\%} of {177}.

#### Solution for 177 is what percent of 97:

177:97*100 =

(177*100):97 =

17700:97 = 182.47

Now we have: 177 is what percent of 97 = 182.47

Question: 177 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\%}={177}.

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

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

{x\%}={177}(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}{177}

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

\frac{x\%}{100\%}=\frac{177}{97}

\Rightarrow{x} = {182.47\%}

Therefore, {177} is {182.47\%} of {97}.

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