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Solution for 40 is what percent of 172:

40:172*100 =

(40*100):172 =

4000:172 = 23.26

Now we have: 40 is what percent of 172 = 23.26

Question: 40 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\%}={40}.

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

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

{x\%}={40}(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}{40}

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

\frac{x\%}{100\%}=\frac{40}{172}

\Rightarrow{x} = {23.26\%}

Therefore, {40} is {23.26\%} of {172}.

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Solution for 172 is what percent of 40:

172:40*100 =

(172*100):40 =

17200:40 = 430

Now we have: 172 is what percent of 40 = 430

Question: 172 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

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

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

{100\%}={40}(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{40}{172}

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

\frac{x\%}{100\%}=\frac{172}{40}

\Rightarrow{x} = {430\%}

Therefore, {172} is {430\%} of {40}.