#### Solution for 155 is what percent of 1042:

155:1042*100 =

(155*100):1042 =

15500:1042 = 14.88

Now we have: 155 is what percent of 1042 = 14.88

Question: 155 is what percent of 1042?

Percentage solution with steps:

Step 1: We make the assumption that 1042 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\%}={1042}.

Step 4: In the same vein, {x\%}={155}.

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

{100\%}={1042}(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{1042}{155}

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

\frac{x\%}{100\%}=\frac{155}{1042}

\Rightarrow{x} = {14.88\%}

Therefore, {155} is {14.88\%} of {1042}.

#### Solution for 1042 is what percent of 155:

1042:155*100 =

(1042*100):155 =

104200:155 = 672.26

Now we have: 1042 is what percent of 155 = 672.26

Question: 1042 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\%}={1042}.

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

{100\%}={155}(1).

{x\%}={1042}(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}{1042}

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

\frac{x\%}{100\%}=\frac{1042}{155}

\Rightarrow{x} = {672.26\%}

Therefore, {1042} is {672.26\%} of {155}.

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