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Solution for 359 is what percent of 500:

359:500*100 =

(359*100):500 =

35900:500 = 71.8

Now we have: 359 is what percent of 500 = 71.8

Question: 359 is what percent of 500?

Percentage solution with steps:

Step 1: We make the assumption that 500 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\%}={500}.

Step 4: In the same vein, {x\%}={359}.

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

{100\%}={500}(1).

{x\%}={359}(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{500}{359}

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

\frac{x\%}{100\%}=\frac{359}{500}

\Rightarrow{x} = {71.8\%}

Therefore, {359} is {71.8\%} of {500}.

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Solution for 500 is what percent of 359:

500:359*100 =

(500*100):359 =

50000:359 = 139.28

Now we have: 500 is what percent of 359 = 139.28

Question: 500 is what percent of 359?

Percentage solution with steps:

Step 1: We make the assumption that 359 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\%}={359}.

Step 4: In the same vein, {x\%}={500}.

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

{100\%}={359}(1).

{x\%}={500}(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{359}{500}

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

\frac{x\%}{100\%}=\frac{500}{359}

\Rightarrow{x} = {139.28\%}

Therefore, {500} is {139.28\%} of {359}.