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Solution for 513 is what percent of 83:

513:83*100 =

(513*100):83 =

51300:83 = 618.07

Now we have: 513 is what percent of 83 = 618.07

Question: 513 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\%}={513}.

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

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

{x\%}={513}(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}{513}

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

\frac{x\%}{100\%}=\frac{513}{83}

\Rightarrow{x} = {618.07\%}

Therefore, {513} is {618.07\%} of {83}.

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Solution for 83 is what percent of 513:

83:513*100 =

(83*100):513 =

8300:513 = 16.18

Now we have: 83 is what percent of 513 = 16.18

Question: 83 is what percent of 513?

Percentage solution with steps:

Step 1: We make the assumption that 513 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\%}={513}.

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

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

{100\%}={513}(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{513}{83}

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

\frac{x\%}{100\%}=\frac{83}{513}

\Rightarrow{x} = {16.18\%}

Therefore, {83} is {16.18\%} of {513}.