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Solution for 173 is what percent of 40:

173:40*100 =

(173*100):40 =

17300:40 = 432.5

Now we have: 173 is what percent of 40 = 432.5

Question: 173 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\%}={173}.

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

{100\%}={40}(1).

{x\%}={173}(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}{173}

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

\frac{x\%}{100\%}=\frac{173}{40}

\Rightarrow{x} = {432.5\%}

Therefore, {173} is {432.5\%} of {40}.

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Solution for 40 is what percent of 173:

40:173*100 =

(40*100):173 =

4000:173 = 23.12

Now we have: 40 is what percent of 173 = 23.12

Question: 40 is what percent of 173?

Percentage solution with steps:

Step 1: We make the assumption that 173 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\%}={173}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={173}(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{173}{40}

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

\frac{x\%}{100\%}=\frac{40}{173}

\Rightarrow{x} = {23.12\%}

Therefore, {40} is {23.12\%} of {173}.