#### Solution for 500 is what percent of 470:

500:470*100 =

(500*100):470 =

50000:470 = 106.38

Now we have: 500 is what percent of 470 = 106.38

Question: 500 is what percent of 470?

Percentage solution with steps:

Step 1: We make the assumption that 470 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\%}={470}.

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

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

{100\%}={470}(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{470}{500}

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

\frac{x\%}{100\%}=\frac{500}{470}

\Rightarrow{x} = {106.38\%}

Therefore, {500} is {106.38\%} of {470}.

#### Solution for 470 is what percent of 500:

470:500*100 =

(470*100):500 =

47000:500 = 94

Now we have: 470 is what percent of 500 = 94

Question: 470 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\%}={470}.

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

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

{x\%}={470}(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}{470}

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

\frac{x\%}{100\%}=\frac{470}{500}

\Rightarrow{x} = {94\%}

Therefore, {470} is {94\%} of {500}.

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