#### Solution for 513 is what percent of 726:

513:726*100 =

(513*100):726 =

51300:726 = 70.66

Now we have: 513 is what percent of 726 = 70.66

Question: 513 is what percent of 726?

Percentage solution with steps:

Step 1: We make the assumption that 726 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\%}={726}.

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

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

{100\%}={726}(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{726}{513}

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

\frac{x\%}{100\%}=\frac{513}{726}

\Rightarrow{x} = {70.66\%}

Therefore, {513} is {70.66\%} of {726}.

#### Solution for 726 is what percent of 513:

726:513*100 =

(726*100):513 =

72600:513 = 141.52

Now we have: 726 is what percent of 513 = 141.52

Question: 726 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\%}={726}.

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

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

{x\%}={726}(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}{726}

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

\frac{x\%}{100\%}=\frac{726}{513}

\Rightarrow{x} = {141.52\%}

Therefore, {726} is {141.52\%} of {513}.

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