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Solution for 101.2 is what percent of 40:

101.2:40*100 =

(101.2*100):40 =

10120:40 = 253

Now we have: 101.2 is what percent of 40 = 253

Question: 101.2 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\%}={101.2}.

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

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

{x\%}={101.2}(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}{101.2}

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

\frac{x\%}{100\%}=\frac{101.2}{40}

\Rightarrow{x} = {253\%}

Therefore, {101.2} is {253\%} of {40}.

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Solution for 40 is what percent of 101.2:

40:101.2*100 =

(40*100):101.2 =

4000:101.2 = 39.525691699605

Now we have: 40 is what percent of 101.2 = 39.525691699605

Question: 40 is what percent of 101.2?

Percentage solution with steps:

Step 1: We make the assumption that 101.2 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\%}={101.2}.

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

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

{100\%}={101.2}(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{101.2}{40}

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

\frac{x\%}{100\%}=\frac{40}{101.2}

\Rightarrow{x} = {39.525691699605\%}

Therefore, {40} is {39.525691699605\%} of {101.2}.