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Solution for 34 is what percent of 83:

34:83*100 =

(34*100):83 =

3400:83 = 40.96

Now we have: 34 is what percent of 83 = 40.96

Question: 34 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\%}={34}.

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

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

{x\%}={34}(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}{34}

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

\frac{x\%}{100\%}=\frac{34}{83}

\Rightarrow{x} = {40.96\%}

Therefore, {34} is {40.96\%} of {83}.

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Solution for 83 is what percent of 34:

83:34*100 =

(83*100):34 =

8300:34 = 244.12

Now we have: 83 is what percent of 34 = 244.12

Question: 83 is what percent of 34?

Percentage solution with steps:

Step 1: We make the assumption that 34 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\%}={34}.

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

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

{100\%}={34}(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{34}{83}

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

\frac{x\%}{100\%}=\frac{83}{34}

\Rightarrow{x} = {244.12\%}

Therefore, {83} is {244.12\%} of {34}.