40.98 is what percent of 2503.42 - 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 2503.42 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 2503.42, so we can write it down as 100%=2503.42.
4. We know, that x% equals 40.98 of the output value, so we can write it down as x%=40.98.
5. Now we have two simple equations:
1) 100%=2503.42
2) x%=40.98
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%=2503.42/40.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.98 is what percent of 2503.42

100%/x%=2503.42/40.98
(100/x)*x=(2503.42/40.98)*x       - we multiply both sides of the equation by x
100=61.088823816496*x       - we divide both sides of the equation by (61.088823816496) to get x
100/61.088823816496=x
1.6369606378474=x
x=1.6369606378474

now we have:
40.98 is 1.6369606378474% of 2503.42