45.58 is what percent of 66.31 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 66.31 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 66.31, so we can write it down as 100%=66.31.
4. We know, that x% equals 45.58 of the output value, so we can write it down as x%=45.58.
5. Now we have two simple equations:
1) 100%=66.31
2) x%=45.58
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=66.31/45.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.58 is what percent of 66.31

100%/x%=66.31/45.58
(100/x)*x=(66.31/45.58)*x       - we multiply both sides of the equation by x
100=1.4548047389206*x       - we divide both sides of the equation by (1.4548047389206) to get x
100/1.4548047389206=x
68.737746946162=x
x=68.737746946162

now we have:
45.58 is 68.737746946162% of 66.31