#### Solution for 307.69 is what percent of 510:

307.69:510*100 =

(307.69*100):510 =

30769:510 = 60.33137254902

Now we have: 307.69 is what percent of 510 = 60.33137254902

Question: 307.69 is what percent of 510?

Percentage solution with steps:

Step 1: We make the assumption that 510 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\%}={510}.

Step 4: In the same vein, {x\%}={307.69}.

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

{100\%}={510}(1).

{x\%}={307.69}(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{510}{307.69}

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

\frac{x\%}{100\%}=\frac{307.69}{510}

\Rightarrow{x} = {60.33137254902\%}

Therefore, {307.69} is {60.33137254902\%} of {510}.

#### Solution for 510 is what percent of 307.69:

510:307.69*100 =

(510*100):307.69 =

51000:307.69 = 165.75124313432

Now we have: 510 is what percent of 307.69 = 165.75124313432

Question: 510 is what percent of 307.69?

Percentage solution with steps:

Step 1: We make the assumption that 307.69 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\%}={307.69}.

Step 4: In the same vein, {x\%}={510}.

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

{100\%}={307.69}(1).

{x\%}={510}(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{307.69}{510}

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

\frac{x\%}{100\%}=\frac{510}{307.69}

\Rightarrow{x} = {165.75124313432\%}

Therefore, {510} is {165.75124313432\%} of {307.69}.

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