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Solution for 40 is what percent of 61:

40:61*100 =

(40*100):61 =

4000:61 = 65.57

Now we have: 40 is what percent of 61 = 65.57

Question: 40 is what percent of 61?

Percentage solution with steps:

Step 1: We make the assumption that 61 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\%}={61}.

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

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

{100\%}={61}(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{61}{40}

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

\frac{x\%}{100\%}=\frac{40}{61}

\Rightarrow{x} = {65.57\%}

Therefore, {40} is {65.57\%} of {61}.

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Solution for 61 is what percent of 40:

61:40*100 =

(61*100):40 =

6100:40 = 152.5

Now we have: 61 is what percent of 40 = 152.5

Question: 61 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\%}={61}.

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

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

{x\%}={61}(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}{61}

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

\frac{x\%}{100\%}=\frac{61}{40}

\Rightarrow{x} = {152.5\%}

Therefore, {61} is {152.5\%} of {40}.