#### Solution for 130 is what percent of 182:

130:182*100 =

(130*100):182 =

13000:182 = 71.43

Now we have: 130 is what percent of 182 = 71.43

Question: 130 is what percent of 182?

Percentage solution with steps:

Step 1: We make the assumption that 182 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\%}={182}.

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

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

{100\%}={182}(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{182}{130}

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

\frac{x\%}{100\%}=\frac{130}{182}

\Rightarrow{x} = {71.43\%}

Therefore, {130} is {71.43\%} of {182}.

#### Solution for 182 is what percent of 130:

182:130*100 =

(182*100):130 =

18200:130 = 140

Now we have: 182 is what percent of 130 = 140

Question: 182 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\%}={182}.

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

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

{x\%}={182}(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}{182}

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

\frac{x\%}{100\%}=\frac{182}{130}

\Rightarrow{x} = {140\%}

Therefore, {182} is {140\%} of {130}.

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