#### Solution for 59 is what percent of 169:

59:169*100 =

(59*100):169 =

5900:169 = 34.91

Now we have: 59 is what percent of 169 = 34.91

Question: 59 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\%}={59}.

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

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

{x\%}={59}(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}{59}

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

\frac{x\%}{100\%}=\frac{59}{169}

\Rightarrow{x} = {34.91\%}

Therefore, {59} is {34.91\%} of {169}.

#### Solution for 169 is what percent of 59:

169:59*100 =

(169*100):59 =

16900:59 = 286.44

Now we have: 169 is what percent of 59 = 286.44

Question: 169 is what percent of 59?

Percentage solution with steps:

Step 1: We make the assumption that 59 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\%}={59}.

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

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

{100\%}={59}(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{59}{169}

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

\frac{x\%}{100\%}=\frac{169}{59}

\Rightarrow{x} = {286.44\%}

Therefore, {169} is {286.44\%} of {59}.

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