0.45 is what percent of 2.26 - 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 2.26 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 2.26, so we can write it down as 100%=2.26.
4. We know, that x% equals 0.45 of the output value, so we can write it down as x%=0.45.
5. Now we have two simple equations:
1) 100%=2.26
2) x%=0.45
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%=2.26/0.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.45 is what percent of 2.26

100%/x%=2.26/0.45
(100/x)*x=(2.26/0.45)*x       - we multiply both sides of the equation by x
100=5.0222222222222*x       - we divide both sides of the equation by (5.0222222222222) to get x
100/5.0222222222222=x
19.911504424779=x
x=19.911504424779

now we have:
0.45 is 19.911504424779% of 2.26