45.4 is what percent of 69.6 - 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 69.6 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 69.6, so we can write it down as 100%=69.6.
4. We know, that x% equals 45.4 of the output value, so we can write it down as x%=45.4.
5. Now we have two simple equations:
1) 100%=69.6
2) x%=45.4
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%=69.6/45.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.4 is what percent of 69.6

100%/x%=69.6/45.4
(100/x)*x=(69.6/45.4)*x       - we multiply both sides of the equation by x
100=1.5330396475771*x       - we divide both sides of the equation by (1.5330396475771) to get x
100/1.5330396475771=x
65.229885057471=x
x=65.229885057471

now we have:
45.4 is 65.229885057471% of 69.6