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Solution for 172 is what percent of 305:

172:305*100 =

(172*100):305 =

17200:305 = 56.39

Now we have: 172 is what percent of 305 = 56.39

Question: 172 is what percent of 305?

Percentage solution with steps:

Step 1: We make the assumption that 305 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\%}={305}.

Step 4: In the same vein, {x\%}={172}.

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

{100\%}={305}(1).

{x\%}={172}(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{305}{172}

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

\frac{x\%}{100\%}=\frac{172}{305}

\Rightarrow{x} = {56.39\%}

Therefore, {172} is {56.39\%} of {305}.

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Solution for 305 is what percent of 172:

305:172*100 =

(305*100):172 =

30500:172 = 177.33

Now we have: 305 is what percent of 172 = 177.33

Question: 305 is what percent of 172?

Percentage solution with steps:

Step 1: We make the assumption that 172 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\%}={172}.

Step 4: In the same vein, {x\%}={305}.

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

{100\%}={172}(1).

{x\%}={305}(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{172}{305}

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

\frac{x\%}{100\%}=\frac{305}{172}

\Rightarrow{x} = {177.33\%}

Therefore, {305} is {177.33\%} of {172}.