61.45 is what percent of 4142.41 - 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 4142.41 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 4142.41, so we can write it down as 100%=4142.41.
4. We know, that x% equals 61.45 of the output value, so we can write it down as x%=61.45.
5. Now we have two simple equations:
1) 100%=4142.41
2) x%=61.45
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%=4142.41/61.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.45 is what percent of 4142.41

100%/x%=4142.41/61.45
(100/x)*x=(4142.41/61.45)*x       - we multiply both sides of the equation by x
100=67.411065907242*x       - we divide both sides of the equation by (67.411065907242) to get x
100/67.411065907242=x
1.4834359708479=x
x=1.4834359708479

now we have:
61.45 is 1.4834359708479% of 4142.41