#### Solution for 83 is what percent of 180:

83:180*100 =

(83*100):180 =

8300:180 = 46.11

Now we have: 83 is what percent of 180 = 46.11

Question: 83 is what percent of 180?

Percentage solution with steps:

Step 1: We make the assumption that 180 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\%}={180}.

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

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

{100\%}={180}(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{180}{83}

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

\frac{x\%}{100\%}=\frac{83}{180}

\Rightarrow{x} = {46.11\%}

Therefore, {83} is {46.11\%} of {180}.

#### Solution for 180 is what percent of 83:

180:83*100 =

(180*100):83 =

18000:83 = 216.87

Now we have: 180 is what percent of 83 = 216.87

Question: 180 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\%}={180}.

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

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

{x\%}={180}(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}{180}

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

\frac{x\%}{100\%}=\frac{180}{83}

\Rightarrow{x} = {216.87\%}

Therefore, {180} is {216.87\%} of {83}.

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