#### Solution for 290 is what percent of 1220:

290:1220*100 =

(290*100):1220 =

29000:1220 = 23.77

Now we have: 290 is what percent of 1220 = 23.77

Question: 290 is what percent of 1220?

Percentage solution with steps:

Step 1: We make the assumption that 1220 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\%}={1220}.

Step 4: In the same vein, {x\%}={290}.

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

{100\%}={1220}(1).

{x\%}={290}(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{1220}{290}

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

\frac{x\%}{100\%}=\frac{290}{1220}

\Rightarrow{x} = {23.77\%}

Therefore, {290} is {23.77\%} of {1220}.

#### Solution for 1220 is what percent of 290:

1220:290*100 =

(1220*100):290 =

122000:290 = 420.69

Now we have: 1220 is what percent of 290 = 420.69

Question: 1220 is what percent of 290?

Percentage solution with steps:

Step 1: We make the assumption that 290 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\%}={290}.

Step 4: In the same vein, {x\%}={1220}.

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

{100\%}={290}(1).

{x\%}={1220}(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{290}{1220}

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

\frac{x\%}{100\%}=\frac{1220}{290}

\Rightarrow{x} = {420.69\%}

Therefore, {1220} is {420.69\%} of {290}.

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