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Solution for 157 is what percent of 90:

157:90*100 =

(157*100):90 =

15700:90 = 174.44

Now we have: 157 is what percent of 90 = 174.44

Question: 157 is what percent of 90?

Percentage solution with steps:

Step 1: We make the assumption that 90 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\%}={90}.

Step 4: In the same vein, {x\%}={157}.

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

{100\%}={90}(1).

{x\%}={157}(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{90}{157}

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

\frac{x\%}{100\%}=\frac{157}{90}

\Rightarrow{x} = {174.44\%}

Therefore, {157} is {174.44\%} of {90}.

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Solution for 90 is what percent of 157:

90:157*100 =

(90*100):157 =

9000:157 = 57.32

Now we have: 90 is what percent of 157 = 57.32

Question: 90 is what percent of 157?

Percentage solution with steps:

Step 1: We make the assumption that 157 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\%}={157}.

Step 4: In the same vein, {x\%}={90}.

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

{100\%}={157}(1).

{x\%}={90}(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{157}{90}

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

\frac{x\%}{100\%}=\frac{90}{157}

\Rightarrow{x} = {57.32\%}

Therefore, {90} is {57.32\%} of {157}.