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Solution for 38 is what percent of 513:

38:513*100 =

(38*100):513 =

3800:513 = 7.41

Now we have: 38 is what percent of 513 = 7.41

Question: 38 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\%}={38}.

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

{100\%}={513}(1).

{x\%}={38}(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}{38}

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

\frac{x\%}{100\%}=\frac{38}{513}

\Rightarrow{x} = {7.41\%}

Therefore, {38} is {7.41\%} of {513}.

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Solution for 513 is what percent of 38:

513:38*100 =

(513*100):38 =

51300:38 = 1350

Now we have: 513 is what percent of 38 = 1350

Question: 513 is what percent of 38?

Percentage solution with steps:

Step 1: We make the assumption that 38 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\%}={38}.

Step 4: In the same vein, {x\%}={513}.

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

{100\%}={38}(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{38}{513}

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

\frac{x\%}{100\%}=\frac{513}{38}

\Rightarrow{x} = {1350\%}

Therefore, {513} is {1350\%} of {38}.