10.45 is what percent of 504.5 - 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 504.5 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 504.5, so we can write it down as 100%=504.5.
4. We know, that x% equals 10.45 of the output value, so we can write it down as x%=10.45.
5. Now we have two simple equations:
1) 100%=504.5
2) x%=10.45
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%=504.5/10.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.45 is what percent of 504.5

100%/x%=504.5/10.45
(100/x)*x=(504.5/10.45)*x       - we multiply both sides of the equation by x
100=48.277511961722*x       - we divide both sides of the equation by (48.277511961722) to get x
100/48.277511961722=x
2.0713577799802=x
x=2.0713577799802

now we have:
10.45 is 2.0713577799802% of 504.5