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Solution for 83 is what percent of 1385:

83:1385*100 =

(83*100):1385 =

8300:1385 = 5.99

Now we have: 83 is what percent of 1385 = 5.99

Question: 83 is what percent of 1385?

Percentage solution with steps:

Step 1: We make the assumption that 1385 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\%}={1385}.

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

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

{100\%}={1385}(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{1385}{83}

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

\frac{x\%}{100\%}=\frac{83}{1385}

\Rightarrow{x} = {5.99\%}

Therefore, {83} is {5.99\%} of {1385}.

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Solution for 1385 is what percent of 83:

1385:83*100 =

(1385*100):83 =

138500:83 = 1668.67

Now we have: 1385 is what percent of 83 = 1668.67

Question: 1385 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\%}={1385}.

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

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

{x\%}={1385}(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}{1385}

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

\frac{x\%}{100\%}=\frac{1385}{83}

\Rightarrow{x} = {1668.67\%}

Therefore, {1385} is {1668.67\%} of {83}.