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Solution for 55 is what percent of 37:

55:37*100 =

(55*100):37 =

5500:37 = 148.65

Now we have: 55 is what percent of 37 = 148.65

Question: 55 is what percent of 37?

Percentage solution with steps:

Step 1: We make the assumption that 37 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\%}={37}.

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

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

{100\%}={37}(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{37}{55}

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

\frac{x\%}{100\%}=\frac{55}{37}

\Rightarrow{x} = {148.65\%}

Therefore, {55} is {148.65\%} of {37}.

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Solution for 37 is what percent of 55:

37:55*100 =

(37*100):55 =

3700:55 = 67.27

Now we have: 37 is what percent of 55 = 67.27

Question: 37 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\%}={37}.

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

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

{x\%}={37}(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}{37}

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

\frac{x\%}{100\%}=\frac{37}{55}

\Rightarrow{x} = {67.27\%}

Therefore, {37} is {67.27\%} of {55}.