#### Solution for 58 is what percent of 90:

58:90*100 =

(58*100):90 =

5800:90 = 64.44

Now we have: 58 is what percent of 90 = 64.44

Question: 58 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\%}={58}.

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

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

{x\%}={58}(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}{58}

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

\frac{x\%}{100\%}=\frac{58}{90}

\Rightarrow{x} = {64.44\%}

Therefore, {58} is {64.44\%} of {90}.

#### Solution for 90 is what percent of 58:

90:58*100 =

(90*100):58 =

9000:58 = 155.17

Now we have: 90 is what percent of 58 = 155.17

Question: 90 is what percent of 58?

Percentage solution with steps:

Step 1: We make the assumption that 58 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\%}={58}.

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

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

{100\%}={58}(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{58}{90}

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

\frac{x\%}{100\%}=\frac{90}{58}

\Rightarrow{x} = {155.17\%}

Therefore, {90} is {155.17\%} of {58}.

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