#### Solution for 107 is what percent of 158:

107:158*100 =

(107*100):158 =

10700:158 = 67.72

Now we have: 107 is what percent of 158 = 67.72

Question: 107 is what percent of 158?

Percentage solution with steps:

Step 1: We make the assumption that 158 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\%}={158}.

Step 4: In the same vein, {x\%}={107}.

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

{100\%}={158}(1).

{x\%}={107}(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{158}{107}

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

\frac{x\%}{100\%}=\frac{107}{158}

\Rightarrow{x} = {67.72\%}

Therefore, {107} is {67.72\%} of {158}.

#### Solution for 158 is what percent of 107:

158:107*100 =

(158*100):107 =

15800:107 = 147.66

Now we have: 158 is what percent of 107 = 147.66

Question: 158 is what percent of 107?

Percentage solution with steps:

Step 1: We make the assumption that 107 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\%}={107}.

Step 4: In the same vein, {x\%}={158}.

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

{100\%}={107}(1).

{x\%}={158}(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{107}{158}

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

\frac{x\%}{100\%}=\frac{158}{107}

\Rightarrow{x} = {147.66\%}

Therefore, {158} is {147.66\%} of {107}.

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