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Solution for .040 is what percent of 55:

.040:55*100 =

(.040*100):55 =

4:55 = 0.07

Now we have: .040 is what percent of 55 = 0.07

Question: .040 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

Step 4: In the same vein, {x\%}={.040}.

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

{100\%}={55}(1).

{x\%}={.040}(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{55}{.040}

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

\frac{x\%}{100\%}=\frac{.040}{55}

\Rightarrow{x} = {0.07\%}

Therefore, {.040} is {0.07\%} of {55}.

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Solution for 55 is what percent of .040:

55:.040*100 =

(55*100):.040 =

5500:.040 = 137500

Now we have: 55 is what percent of .040 = 137500

Question: 55 is what percent of .040?

Percentage solution with steps:

Step 1: We make the assumption that .040 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\%}={.040}.

Step 4: In the same vein, {x\%}={55}.

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

{100\%}={.040}(1).

{x\%}={55}(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{.040}{55}

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

\frac{x\%}{100\%}=\frac{55}{.040}

\Rightarrow{x} = {137500\%}

Therefore, {55} is {137500\%} of {.040}.