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Solution for 316 is what percent of 550:

316:550*100 =

(316*100):550 =

31600:550 = 57.45

Now we have: 316 is what percent of 550 = 57.45

Question: 316 is what percent of 550?

Percentage solution with steps:

Step 1: We make the assumption that 550 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\%}={550}.

Step 4: In the same vein, {x\%}={316}.

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

{100\%}={550}(1).

{x\%}={316}(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{550}{316}

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

\frac{x\%}{100\%}=\frac{316}{550}

\Rightarrow{x} = {57.45\%}

Therefore, {316} is {57.45\%} of {550}.

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Solution for 550 is what percent of 316:

550:316*100 =

(550*100):316 =

55000:316 = 174.05

Now we have: 550 is what percent of 316 = 174.05

Question: 550 is what percent of 316?

Percentage solution with steps:

Step 1: We make the assumption that 316 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\%}={316}.

Step 4: In the same vein, {x\%}={550}.

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

{100\%}={316}(1).

{x\%}={550}(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{316}{550}

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

\frac{x\%}{100\%}=\frac{550}{316}

\Rightarrow{x} = {174.05\%}

Therefore, {550} is {174.05\%} of {316}.