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Solution for 31 is what percent of 172:

31:172*100 =

(31*100):172 =

3100:172 = 18.02

Now we have: 31 is what percent of 172 = 18.02

Question: 31 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\%}={31}.

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

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

{x\%}={31}(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}{31}

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

\frac{x\%}{100\%}=\frac{31}{172}

\Rightarrow{x} = {18.02\%}

Therefore, {31} is {18.02\%} of {172}.

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Solution for 172 is what percent of 31:

172:31*100 =

(172*100):31 =

17200:31 = 554.84

Now we have: 172 is what percent of 31 = 554.84

Question: 172 is what percent of 31?

Percentage solution with steps:

Step 1: We make the assumption that 31 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\%}={31}.

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

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

{100\%}={31}(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{31}{172}

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

\frac{x\%}{100\%}=\frac{172}{31}

\Rightarrow{x} = {554.84\%}

Therefore, {172} is {554.84\%} of {31}.