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Solution for 33.8 is what percent of 169:

33.8:169*100 =

(33.8*100):169 =

3380:169 = 20

Now we have: 33.8 is what percent of 169 = 20

Question: 33.8 is what percent of 169?

Percentage solution with steps:

Step 1: We make the assumption that 169 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\%}={169}.

Step 4: In the same vein, {x\%}={33.8}.

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

{100\%}={169}(1).

{x\%}={33.8}(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{169}{33.8}

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

\frac{x\%}{100\%}=\frac{33.8}{169}

\Rightarrow{x} = {20\%}

Therefore, {33.8} is {20\%} of {169}.

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• 33.8 is what percent of 100 = 33.8

Solution for 169 is what percent of 33.8:

169:33.8*100 =

(169*100):33.8 =

16900:33.8 = 500

Now we have: 169 is what percent of 33.8 = 500

Question: 169 is what percent of 33.8?

Percentage solution with steps:

Step 1: We make the assumption that 33.8 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\%}={33.8}.

Step 4: In the same vein, {x\%}={169}.

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

{100\%}={33.8}(1).

{x\%}={169}(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{33.8}{169}

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

\frac{x\%}{100\%}=\frac{169}{33.8}

\Rightarrow{x} = {500\%}

Therefore, {169} is {500\%} of {33.8}.