#### Solution for 83.50 is what percent of 130:

83.50:130*100 =

(83.50*100):130 =

8350:130 = 64.230769230769

Now we have: 83.50 is what percent of 130 = 64.230769230769

Question: 83.50 is what percent of 130?

Percentage solution with steps:

Step 1: We make the assumption that 130 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\%}={130}.

Step 4: In the same vein, {x\%}={83.50}.

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

{100\%}={130}(1).

{x\%}={83.50}(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{130}{83.50}

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

\frac{x\%}{100\%}=\frac{83.50}{130}

\Rightarrow{x} = {64.230769230769\%}

Therefore, {83.50} is {64.230769230769\%} of {130}.

#### Solution for 130 is what percent of 83.50:

130:83.50*100 =

(130*100):83.50 =

13000:83.50 = 155.68862275449

Now we have: 130 is what percent of 83.50 = 155.68862275449

Question: 130 is what percent of 83.50?

Percentage solution with steps:

Step 1: We make the assumption that 83.50 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\%}={83.50}.

Step 4: In the same vein, {x\%}={130}.

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

{100\%}={83.50}(1).

{x\%}={130}(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{83.50}{130}

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

\frac{x\%}{100\%}=\frac{130}{83.50}

\Rightarrow{x} = {155.68862275449\%}

Therefore, {130} is {155.68862275449\%} of {83.50}.

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