45.54 is what percent of 140.3 - 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 140.3 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 140.3, so we can write it down as 100%=140.3.
4. We know, that x% equals 45.54 of the output value, so we can write it down as x%=45.54.
5. Now we have two simple equations:
1) 100%=140.3
2) x%=45.54
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%=140.3/45.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.54 is what percent of 140.3

100%/x%=140.3/45.54
(100/x)*x=(140.3/45.54)*x       - we multiply both sides of the equation by x
100=3.0808080808081*x       - we divide both sides of the equation by (3.0808080808081) to get x
100/3.0808080808081=x
32.459016393443=x
x=32.459016393443

now we have:
45.54 is 32.459016393443% of 140.3