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Solution for 298 is what percent of 83:

298:83*100 =

(298*100):83 =

29800:83 = 359.04

Now we have: 298 is what percent of 83 = 359.04

Question: 298 is what percent of 83?

Percentage solution with steps:

Step 1: We make the assumption that 83 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\%}={83}.

Step 4: In the same vein, {x\%}={298}.

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

{100\%}={83}(1).

{x\%}={298}(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{83}{298}

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

\frac{x\%}{100\%}=\frac{298}{83}

\Rightarrow{x} = {359.04\%}

Therefore, {298} is {359.04\%} of {83}.

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Solution for 83 is what percent of 298:

83:298*100 =

(83*100):298 =

8300:298 = 27.85

Now we have: 83 is what percent of 298 = 27.85

Question: 83 is what percent of 298?

Percentage solution with steps:

Step 1: We make the assumption that 298 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\%}={298}.

Step 4: In the same vein, {x\%}={83}.

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

{100\%}={298}(1).

{x\%}={83}(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{298}{83}

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

\frac{x\%}{100\%}=\frac{83}{298}

\Rightarrow{x} = {27.85\%}

Therefore, {83} is {27.85\%} of {298}.