30.67 is what percent of 45 - 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 45 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 45, so we can write it down as 100%=45.
4. We know, that x% equals 30.67 of the output value, so we can write it down as x%=30.67.
5. Now we have two simple equations:
1) 100%=45
2) x%=30.67
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%=45/30.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.67 is what percent of 45

100%/x%=45/30.67
(100/x)*x=(45/30.67)*x       - we multiply both sides of the equation by x
100=1.467231822628*x       - we divide both sides of the equation by (1.467231822628) to get x
100/1.467231822628=x
68.155555555556=x
x=68.155555555556

now we have:
30.67 is 68.155555555556% of 45