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Solution for 170 is what percent of 480:

170:480*100 =

(170*100):480 =

17000:480 = 35.42

Now we have: 170 is what percent of 480 = 35.42

Question: 170 is what percent of 480?

Percentage solution with steps:

Step 1: We make the assumption that 480 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\%}={480}.

Step 4: In the same vein, {x\%}={170}.

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

{100\%}={480}(1).

{x\%}={170}(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{480}{170}

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

\frac{x\%}{100\%}=\frac{170}{480}

\Rightarrow{x} = {35.42\%}

Therefore, {170} is {35.42\%} of {480}.

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Solution for 480 is what percent of 170:

480:170*100 =

(480*100):170 =

48000:170 = 282.35

Now we have: 480 is what percent of 170 = 282.35

Question: 480 is what percent of 170?

Percentage solution with steps:

Step 1: We make the assumption that 170 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\%}={170}.

Step 4: In the same vein, {x\%}={480}.

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

{100\%}={170}(1).

{x\%}={480}(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{170}{480}

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

\frac{x\%}{100\%}=\frac{480}{170}

\Rightarrow{x} = {282.35\%}

Therefore, {480} is {282.35\%} of {170}.