45.56 is what percent of 60.4 - 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 60.4 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 60.4, so we can write it down as 100%=60.4.
4. We know, that x% equals 45.56 of the output value, so we can write it down as x%=45.56.
5. Now we have two simple equations:
1) 100%=60.4
2) x%=45.56
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%=60.4/45.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.56 is what percent of 60.4

100%/x%=60.4/45.56
(100/x)*x=(60.4/45.56)*x       - we multiply both sides of the equation by x
100=1.3257243195786*x       - we divide both sides of the equation by (1.3257243195786) to get x
100/1.3257243195786=x
75.430463576159=x
x=75.430463576159

now we have:
45.56 is 75.430463576159% of 60.4