#### Solution for 1580 is what percent of 6580:

1580:6580*100 =

(1580*100):6580 =

158000:6580 = 24.01

Now we have: 1580 is what percent of 6580 = 24.01

Question: 1580 is what percent of 6580?

Percentage solution with steps:

Step 1: We make the assumption that 6580 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\%}={6580}.

Step 4: In the same vein, {x\%}={1580}.

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

{100\%}={6580}(1).

{x\%}={1580}(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{6580}{1580}

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

\frac{x\%}{100\%}=\frac{1580}{6580}

\Rightarrow{x} = {24.01\%}

Therefore, {1580} is {24.01\%} of {6580}.

#### Solution for 6580 is what percent of 1580:

6580:1580*100 =

(6580*100):1580 =

658000:1580 = 416.46

Now we have: 6580 is what percent of 1580 = 416.46

Question: 6580 is what percent of 1580?

Percentage solution with steps:

Step 1: We make the assumption that 1580 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\%}={1580}.

Step 4: In the same vein, {x\%}={6580}.

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

{100\%}={1580}(1).

{x\%}={6580}(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{1580}{6580}

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

\frac{x\%}{100\%}=\frac{6580}{1580}

\Rightarrow{x} = {416.46\%}

Therefore, {6580} is {416.46\%} of {1580}.

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