#### Solution for 348 is what percent of 580:

348:580*100 =

(348*100):580 =

34800:580 = 60

Now we have: 348 is what percent of 580 = 60

Question: 348 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\%}={348}.

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

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

{x\%}={348}(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}{348}

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

\frac{x\%}{100\%}=\frac{348}{580}

\Rightarrow{x} = {60\%}

Therefore, {348} is {60\%} of {580}.

#### Solution for 580 is what percent of 348:

580:348*100 =

(580*100):348 =

58000:348 = 166.67

Now we have: 580 is what percent of 348 = 166.67

Question: 580 is what percent of 348?

Percentage solution with steps:

Step 1: We make the assumption that 348 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\%}={348}.

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

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

{100\%}={348}(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{348}{580}

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

\frac{x\%}{100\%}=\frac{580}{348}

\Rightarrow{x} = {166.67\%}

Therefore, {580} is {166.67\%} of {348}.

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