#### Solution for 169 is what percent of 162.5:

169:162.5*100 =

(169*100):162.5 =

16900:162.5 = 104

Now we have: 169 is what percent of 162.5 = 104

Question: 169 is what percent of 162.5?

Percentage solution with steps:

Step 1: We make the assumption that 162.5 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\%}={162.5}.

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

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

{100\%}={162.5}(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{162.5}{169}

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

\frac{x\%}{100\%}=\frac{169}{162.5}

\Rightarrow{x} = {104\%}

Therefore, {169} is {104\%} of {162.5}.

#### Solution for 162.5 is what percent of 169:

162.5:169*100 =

(162.5*100):169 =

16250:169 = 96.153846153846

Now we have: 162.5 is what percent of 169 = 96.153846153846

Question: 162.5 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\%}={162.5}.

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

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

{x\%}={162.5}(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}{162.5}

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

\frac{x\%}{100\%}=\frac{162.5}{169}

\Rightarrow{x} = {96.153846153846\%}

Therefore, {162.5} is {96.153846153846\%} of {169}.

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