10.45 is what percent of 2 - 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 2 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 2, so we can write it down as 100%=2.
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%=2
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%=2/10.45
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 2

100%/x%=2/10.45
(100/x)*x=(2/10.45)*x       - we multiply both sides of the equation by x
100=0.19138755980861*x       - we divide both sides of the equation by (0.19138755980861) to get x
100/0.19138755980861=x
522.5=x
x=522.5

now we have:
10.45 is 522.5% of 2