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Solution for 513 is what percent of 42:

513:42*100 =

(513*100):42 =

51300:42 = 1221.43

Now we have: 513 is what percent of 42 = 1221.43

Question: 513 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\%}={513}.

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

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

{x\%}={513}(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}{513}

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

\frac{x\%}{100\%}=\frac{513}{42}

\Rightarrow{x} = {1221.43\%}

Therefore, {513} is {1221.43\%} of {42}.

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• 513 is what percent of 36 = 1425
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Solution for 42 is what percent of 513:

42:513*100 =

(42*100):513 =

4200:513 = 8.19

Now we have: 42 is what percent of 513 = 8.19

Question: 42 is what percent of 513?

Percentage solution with steps:

Step 1: We make the assumption that 513 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\%}={513}.

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

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

{100\%}={513}(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{513}{42}

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

\frac{x\%}{100\%}=\frac{42}{513}

\Rightarrow{x} = {8.19\%}

Therefore, {42} is {8.19\%} of {513}.