#### Solution for 423 is what percent of 510:

423:510*100 =

(423*100):510 =

42300:510 = 82.94

Now we have: 423 is what percent of 510 = 82.94

Question: 423 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\%}={423}.

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

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

{x\%}={423}(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}{423}

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

\frac{x\%}{100\%}=\frac{423}{510}

\Rightarrow{x} = {82.94\%}

Therefore, {423} is {82.94\%} of {510}.

#### Solution for 510 is what percent of 423:

510:423*100 =

(510*100):423 =

51000:423 = 120.57

Now we have: 510 is what percent of 423 = 120.57

Question: 510 is what percent of 423?

Percentage solution with steps:

Step 1: We make the assumption that 423 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\%}={423}.

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

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

{100\%}={423}(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{423}{510}

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

\frac{x\%}{100\%}=\frac{510}{423}

\Rightarrow{x} = {120.57\%}

Therefore, {510} is {120.57\%} of {423}.

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