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Solution for 137 is what percent of 205:

137:205*100 =

(137*100):205 =

13700:205 = 66.83

Now we have: 137 is what percent of 205 = 66.83

Question: 137 is what percent of 205?

Percentage solution with steps:

Step 1: We make the assumption that 205 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\%}={205}.

Step 4: In the same vein, {x\%}={137}.

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

{100\%}={205}(1).

{x\%}={137}(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{205}{137}

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

\frac{x\%}{100\%}=\frac{137}{205}

\Rightarrow{x} = {66.83\%}

Therefore, {137} is {66.83\%} of {205}.

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Solution for 205 is what percent of 137:

205:137*100 =

(205*100):137 =

20500:137 = 149.64

Now we have: 205 is what percent of 137 = 149.64

Question: 205 is what percent of 137?

Percentage solution with steps:

Step 1: We make the assumption that 137 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\%}={137}.

Step 4: In the same vein, {x\%}={205}.

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

{100\%}={137}(1).

{x\%}={205}(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{137}{205}

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

\frac{x\%}{100\%}=\frac{205}{137}

\Rightarrow{x} = {149.64\%}

Therefore, {205} is {149.64\%} of {137}.