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Solution for 145 is what percent of 55:

145:55*100 =

(145*100):55 =

14500:55 = 263.64

Now we have: 145 is what percent of 55 = 263.64

Question: 145 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\%}={145}.

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

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

{x\%}={145}(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}{145}

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

\frac{x\%}{100\%}=\frac{145}{55}

\Rightarrow{x} = {263.64\%}

Therefore, {145} is {263.64\%} of {55}.

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Solution for 55 is what percent of 145:

55:145*100 =

(55*100):145 =

5500:145 = 37.93

Now we have: 55 is what percent of 145 = 37.93

Question: 55 is what percent of 145?

Percentage solution with steps:

Step 1: We make the assumption that 145 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\%}={145}.

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

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

{100\%}={145}(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{145}{55}

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

\frac{x\%}{100\%}=\frac{55}{145}

\Rightarrow{x} = {37.93\%}

Therefore, {55} is {37.93\%} of {145}.