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Solution for 137 is what percent of 40:

137:40*100 =

(137*100):40 =

13700:40 = 342.5

Now we have: 137 is what percent of 40 = 342.5

Question: 137 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\%}={137}.

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

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

{x\%}={137}(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}{137}

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

\frac{x\%}{100\%}=\frac{137}{40}

\Rightarrow{x} = {342.5\%}

Therefore, {137} is {342.5\%} of {40}.

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Solution for 40 is what percent of 137:

40:137*100 =

(40*100):137 =

4000:137 = 29.2

Now we have: 40 is what percent of 137 = 29.2

Question: 40 is what percent of 137?

Percentage solution with steps:

Step 1: We make the assumption that 137 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\%}={137}.

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

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

{100\%}={137}(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{137}{40}

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

\frac{x\%}{100\%}=\frac{40}{137}

\Rightarrow{x} = {29.2\%}

Therefore, {40} is {29.2\%} of {137}.