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Solution for 40 is what percent of 174:

40:174*100 =

(40*100):174 =

4000:174 = 22.99

Now we have: 40 is what percent of 174 = 22.99

Question: 40 is what percent of 174?

Percentage solution with steps:

Step 1: We make the assumption that 174 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\%}={174}.

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

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

{100\%}={174}(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{174}{40}

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

\frac{x\%}{100\%}=\frac{40}{174}

\Rightarrow{x} = {22.99\%}

Therefore, {40} is {22.99\%} of {174}.

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Solution for 174 is what percent of 40:

174:40*100 =

(174*100):40 =

17400:40 = 435

Now we have: 174 is what percent of 40 = 435

Question: 174 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\%}={174}.

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

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

{x\%}={174}(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}{174}

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

\frac{x\%}{100\%}=\frac{174}{40}

\Rightarrow{x} = {435\%}

Therefore, {174} is {435\%} of {40}.