45 is what percent of 9780 - 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 9780 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 9780, so we can write it down as 100%=9780.
4. We know, that x% equals 45 of the output value, so we can write it down as x%=45.
5. Now we have two simple equations:
1) 100%=9780
2) x%=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%=9780/45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45 is what percent of 9780

100%/x%=9780/45
(100/x)*x=(9780/45)*x       - we multiply both sides of the equation by x
100=217.33333333333*x       - we divide both sides of the equation by (217.33333333333) to get x
100/217.33333333333=x
0.4601226993865=x
x=0.4601226993865

now we have:
45 is 0.4601226993865% of 9780