22.45 is what percent of 540.43 - 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 540.43 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 540.43, so we can write it down as 100%=540.43.
4. We know, that x% equals 22.45 of the output value, so we can write it down as x%=22.45.
5. Now we have two simple equations:
1) 100%=540.43
2) x%=22.45
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%=540.43/22.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.45 is what percent of 540.43

100%/x%=540.43/22.45
(100/x)*x=(540.43/22.45)*x       - we multiply both sides of the equation by x
100=24.072605790646*x       - we divide both sides of the equation by (24.072605790646) to get x
100/24.072605790646=x
4.1540995133505=x
x=4.1540995133505

now we have:
22.45 is 4.1540995133505% of 540.43