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Solution for 510.5 is what percent of 42:

510.5:42*100 =

(510.5*100):42 =

51050:42 = 1215.4761904762

Now we have: 510.5 is what percent of 42 = 1215.4761904762

Question: 510.5 is what percent of 42?

Percentage solution with steps:

Step 1: We make the assumption that 42 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\%}={42}.

Step 4: In the same vein, {x\%}={510.5}.

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

{100\%}={42}(1).

{x\%}={510.5}(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{42}{510.5}

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

\frac{x\%}{100\%}=\frac{510.5}{42}

\Rightarrow{x} = {1215.4761904762\%}

Therefore, {510.5} is {1215.4761904762\%} of {42}.

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• 510.5 is what percent of 100 = 510.5

Solution for 42 is what percent of 510.5:

42:510.5*100 =

(42*100):510.5 =

4200:510.5 = 8.2272282076396

Now we have: 42 is what percent of 510.5 = 8.2272282076396

Question: 42 is what percent of 510.5?

Percentage solution with steps:

Step 1: We make the assumption that 510.5 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\%}={510.5}.

Step 4: In the same vein, {x\%}={42}.

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

{100\%}={510.5}(1).

{x\%}={42}(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{510.5}{42}

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

\frac{x\%}{100\%}=\frac{42}{510.5}

\Rightarrow{x} = {8.2272282076396\%}

Therefore, {42} is {8.2272282076396\%} of {510.5}.