#### Solution for 83 is what percent of 156:

83:156*100 =

(83*100):156 =

8300:156 = 53.21

Now we have: 83 is what percent of 156 = 53.21

Question: 83 is what percent of 156?

Percentage solution with steps:

Step 1: We make the assumption that 156 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\%}={156}.

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

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

{100\%}={156}(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{156}{83}

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

\frac{x\%}{100\%}=\frac{83}{156}

\Rightarrow{x} = {53.21\%}

Therefore, {83} is {53.21\%} of {156}.

#### Solution for 156 is what percent of 83:

156:83*100 =

(156*100):83 =

15600:83 = 187.95

Now we have: 156 is what percent of 83 = 187.95

Question: 156 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\%}={156}.

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

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

{x\%}={156}(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}{156}

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

\frac{x\%}{100\%}=\frac{156}{83}

\Rightarrow{x} = {187.95\%}

Therefore, {156} is {187.95\%} of {83}.

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