30.1 is what percent of 45.1 - 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 45.1 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 45.1, so we can write it down as 100%=45.1.
4. We know, that x% equals 30.1 of the output value, so we can write it down as x%=30.1.
5. Now we have two simple equations:
1) 100%=45.1
2) x%=30.1
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%=45.1/30.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.1 is what percent of 45.1

100%/x%=45.1/30.1
(100/x)*x=(45.1/30.1)*x       - we multiply both sides of the equation by x
100=1.4983388704319*x       - we divide both sides of the equation by (1.4983388704319) to get x
100/1.4983388704319=x
66.740576496674=x
x=66.740576496674

now we have:
30.1 is 66.740576496674% of 45.1