#### Solution for 580 is what percent of 270:

580:270*100 =

(580*100):270 =

58000:270 = 214.81

Now we have: 580 is what percent of 270 = 214.81

Question: 580 is what percent of 270?

Percentage solution with steps:

Step 1: We make the assumption that 270 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\%}={270}.

Step 4: In the same vein, {x\%}={580}.

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

{100\%}={270}(1).

{x\%}={580}(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{270}{580}

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

\frac{x\%}{100\%}=\frac{580}{270}

\Rightarrow{x} = {214.81\%}

Therefore, {580} is {214.81\%} of {270}.

#### Solution for 270 is what percent of 580:

270:580*100 =

(270*100):580 =

27000:580 = 46.55

Now we have: 270 is what percent of 580 = 46.55

Question: 270 is what percent of 580?

Percentage solution with steps:

Step 1: We make the assumption that 580 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\%}={580}.

Step 4: In the same vein, {x\%}={270}.

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

{100\%}={580}(1).

{x\%}={270}(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{580}{270}

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

\frac{x\%}{100\%}=\frac{270}{580}

\Rightarrow{x} = {46.55\%}

Therefore, {270} is {46.55\%} of {580}.

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