#### Solution for 185 is what percent of 424:

185:424*100 =

(185*100):424 =

18500:424 = 43.63

Now we have: 185 is what percent of 424 = 43.63

Question: 185 is what percent of 424?

Percentage solution with steps:

Step 1: We make the assumption that 424 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\%}={424}.

Step 4: In the same vein, {x\%}={185}.

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

{100\%}={424}(1).

{x\%}={185}(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{424}{185}

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

\frac{x\%}{100\%}=\frac{185}{424}

\Rightarrow{x} = {43.63\%}

Therefore, {185} is {43.63\%} of {424}.

#### Solution for 424 is what percent of 185:

424:185*100 =

(424*100):185 =

42400:185 = 229.19

Now we have: 424 is what percent of 185 = 229.19

Question: 424 is what percent of 185?

Percentage solution with steps:

Step 1: We make the assumption that 185 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\%}={185}.

Step 4: In the same vein, {x\%}={424}.

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

{100\%}={185}(1).

{x\%}={424}(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{185}{424}

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

\frac{x\%}{100\%}=\frac{424}{185}

\Rightarrow{x} = {229.19\%}

Therefore, {424} is {229.19\%} of {185}.

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