45.15 is what percent of 210.6 - 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 210.6 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 210.6, so we can write it down as 100%=210.6.
4. We know, that x% equals 45.15 of the output value, so we can write it down as x%=45.15.
5. Now we have two simple equations:
1) 100%=210.6
2) x%=45.15
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%=210.6/45.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.15 is what percent of 210.6

100%/x%=210.6/45.15
(100/x)*x=(210.6/45.15)*x       - we multiply both sides of the equation by x
100=4.6644518272425*x       - we divide both sides of the equation by (4.6644518272425) to get x
100/4.6644518272425=x
21.438746438746=x
x=21.438746438746

now we have:
45.15 is 21.438746438746% of 210.6