45535.3 is what percent of 300000 - 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 300000 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 300000, so we can write it down as 100%=300000.
4. We know, that x% equals 45535.3 of the output value, so we can write it down as x%=45535.3.
5. Now we have two simple equations:
1) 100%=300000
2) x%=45535.3
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%=300000/45535.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45535.3 is what percent of 300000

100%/x%=300000/45535.3
(100/x)*x=(300000/45535.3)*x       - we multiply both sides of the equation by x
100=6.5882952346861*x       - we divide both sides of the equation by (6.5882952346861) to get x
100/6.5882952346861=x
15.178433333333=x
x=15.178433333333

now we have:
45535.3 is 15.178433333333% of 300000