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Solution for 182 is what percent of 40:

182:40*100 =

(182*100):40 =

18200:40 = 455

Now we have: 182 is what percent of 40 = 455

Question: 182 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={182}.

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

{100\%}={40}(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{40}{182}

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

\frac{x\%}{100\%}=\frac{182}{40}

\Rightarrow{x} = {455\%}

Therefore, {182} is {455\%} of {40}.

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Solution for 40 is what percent of 182:

40:182*100 =

(40*100):182 =

4000:182 = 21.98

Now we have: 40 is what percent of 182 = 21.98

Question: 40 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\%}={40}.

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

{100\%}={182}(1).

{x\%}={40}(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}{40}

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

\frac{x\%}{100\%}=\frac{40}{182}

\Rightarrow{x} = {21.98\%}

Therefore, {40} is {21.98\%} of {182}.