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Solution for 297.5 is what percent of 350:

297.5:350*100 =

(297.5*100):350 =

29750:350 = 85

Now we have: 297.5 is what percent of 350 = 85

Question: 297.5 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\%}={297.5}.

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

{100\%}={350}(1).

{x\%}={297.5}(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}{297.5}

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

\frac{x\%}{100\%}=\frac{297.5}{350}

\Rightarrow{x} = {85\%}

Therefore, {297.5} is {85\%} of {350}.

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Solution for 350 is what percent of 297.5:

350:297.5*100 =

(350*100):297.5 =

35000:297.5 = 117.64705882353

Now we have: 350 is what percent of 297.5 = 117.64705882353

Question: 350 is what percent of 297.5?

Percentage solution with steps:

Step 1: We make the assumption that 297.5 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\%}={297.5}.

Step 4: In the same vein, {x\%}={350}.

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

{100\%}={297.5}(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{297.5}{350}

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

\frac{x\%}{100\%}=\frac{350}{297.5}

\Rightarrow{x} = {117.64705882353\%}

Therefore, {350} is {117.64705882353\%} of {297.5}.