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Solution for 355 is what percent of 89:

355:89*100 =

(355*100):89 =

35500:89 = 398.88

Now we have: 355 is what percent of 89 = 398.88

Question: 355 is what percent of 89?

Percentage solution with steps:

Step 1: We make the assumption that 89 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\%}={89}.

Step 4: In the same vein, {x\%}={355}.

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

{100\%}={89}(1).

{x\%}={355}(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{89}{355}

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

\frac{x\%}{100\%}=\frac{355}{89}

\Rightarrow{x} = {398.88\%}

Therefore, {355} is {398.88\%} of {89}.

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Solution for 89 is what percent of 355:

89:355*100 =

(89*100):355 =

8900:355 = 25.07

Now we have: 89 is what percent of 355 = 25.07

Question: 89 is what percent of 355?

Percentage solution with steps:

Step 1: We make the assumption that 355 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\%}={355}.

Step 4: In the same vein, {x\%}={89}.

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

{100\%}={355}(1).

{x\%}={89}(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{355}{89}

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

\frac{x\%}{100\%}=\frac{89}{355}

\Rightarrow{x} = {25.07\%}

Therefore, {89} is {25.07\%} of {355}.