#### Solution for 83 is what percent of 237:

83:237*100 =

(83*100):237 =

8300:237 = 35.02

Now we have: 83 is what percent of 237 = 35.02

Question: 83 is what percent of 237?

Percentage solution with steps:

Step 1: We make the assumption that 237 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\%}={237}.

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

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

{100\%}={237}(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{237}{83}

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

\frac{x\%}{100\%}=\frac{83}{237}

\Rightarrow{x} = {35.02\%}

Therefore, {83} is {35.02\%} of {237}.

#### Solution for 237 is what percent of 83:

237:83*100 =

(237*100):83 =

23700:83 = 285.54

Now we have: 237 is what percent of 83 = 285.54

Question: 237 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\%}={237}.

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

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

{x\%}={237}(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}{237}

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

\frac{x\%}{100\%}=\frac{237}{83}

\Rightarrow{x} = {285.54\%}

Therefore, {237} is {285.54\%} of {83}.

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