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Solution for 136 is what percent of 40:

136:40*100 =

(136*100):40 =

13600:40 = 340

Now we have: 136 is what percent of 40 = 340

Question: 136 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\%}={136}.

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

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

{x\%}={136}(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}{136}

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

\frac{x\%}{100\%}=\frac{136}{40}

\Rightarrow{x} = {340\%}

Therefore, {136} is {340\%} of {40}.

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Solution for 40 is what percent of 136:

40:136*100 =

(40*100):136 =

4000:136 = 29.41

Now we have: 40 is what percent of 136 = 29.41

Question: 40 is what percent of 136?

Percentage solution with steps:

Step 1: We make the assumption that 136 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\%}={136}.

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

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

{100\%}={136}(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{136}{40}

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

\frac{x\%}{100\%}=\frac{40}{136}

\Rightarrow{x} = {29.41\%}

Therefore, {40} is {29.41\%} of {136}.