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Solution for 313 is what percent of 55:

313:55*100 =

(313*100):55 =

31300:55 = 569.09

Now we have: 313 is what percent of 55 = 569.09

Question: 313 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\%}={313}.

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

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

{x\%}={313}(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}{313}

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

\frac{x\%}{100\%}=\frac{313}{55}

\Rightarrow{x} = {569.09\%}

Therefore, {313} is {569.09\%} of {55}.

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Solution for 55 is what percent of 313:

55:313*100 =

(55*100):313 =

5500:313 = 17.57

Now we have: 55 is what percent of 313 = 17.57

Question: 55 is what percent of 313?

Percentage solution with steps:

Step 1: We make the assumption that 313 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\%}={313}.

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

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

{100\%}={313}(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{313}{55}

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

\frac{x\%}{100\%}=\frac{55}{313}

\Rightarrow{x} = {17.57\%}

Therefore, {55} is {17.57\%} of {313}.