#### Solution for 155 is what percent of 290:

155:290*100 =

(155*100):290 =

15500:290 = 53.45

Now we have: 155 is what percent of 290 = 53.45

Question: 155 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\%}={155}.

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

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

{x\%}={155}(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}{155}

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

\frac{x\%}{100\%}=\frac{155}{290}

\Rightarrow{x} = {53.45\%}

Therefore, {155} is {53.45\%} of {290}.

#### Solution for 290 is what percent of 155:

290:155*100 =

(290*100):155 =

29000:155 = 187.1

Now we have: 290 is what percent of 155 = 187.1

Question: 290 is what percent of 155?

Percentage solution with steps:

Step 1: We make the assumption that 155 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\%}={155}.

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

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

{100\%}={155}(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{155}{290}

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

\frac{x\%}{100\%}=\frac{290}{155}

\Rightarrow{x} = {187.1\%}

Therefore, {290} is {187.1\%} of {155}.

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