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Solution for 5.0 is what percent of 83:

5.0:83*100 =

(5.0*100):83 =

500:83 = 6.0240963855422

Now we have: 5.0 is what percent of 83 = 6.0240963855422

Question: 5.0 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\%}={5.0}.

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

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

{x\%}={5.0}(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}{5.0}

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

\frac{x\%}{100\%}=\frac{5.0}{83}

\Rightarrow{x} = {6.0240963855422\%}

Therefore, {5.0} is {6.0240963855422\%} of {83}.

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• 5.0 is what percent of 100 = 5

Solution for 83 is what percent of 5.0:

83:5.0*100 =

(83*100):5.0 =

8300:5.0 = 1660

Now we have: 83 is what percent of 5.0 = 1660

Question: 83 is what percent of 5.0?

Percentage solution with steps:

Step 1: We make the assumption that 5.0 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\%}={5.0}.

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

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

{100\%}={5.0}(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{5.0}{83}

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

\frac{x\%}{100\%}=\frac{83}{5.0}

\Rightarrow{x} = {1660\%}

Therefore, {83} is {1660\%} of {5.0}.