#### Solution for 97 is what percent of 350:

97:350*100 =

(97*100):350 =

9700:350 = 27.71

Now we have: 97 is what percent of 350 = 27.71

Question: 97 is what percent of 350?

Percentage solution with steps:

Step 1: We make the assumption that 350 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\%}={350}.

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

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

{100\%}={350}(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{350}{97}

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

\frac{x\%}{100\%}=\frac{97}{350}

\Rightarrow{x} = {27.71\%}

Therefore, {97} is {27.71\%} of {350}.

#### Solution for 350 is what percent of 97:

350:97*100 =

(350*100):97 =

35000:97 = 360.82

Now we have: 350 is what percent of 97 = 360.82

Question: 350 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\%}={350}.

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

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

{x\%}={350}(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}{350}

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

\frac{x\%}{100\%}=\frac{350}{97}

\Rightarrow{x} = {360.82\%}

Therefore, {350} is {360.82\%} of {97}.

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