45.78 is what percent of 47.558 - 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 47.558 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 47.558, so we can write it down as 100%=47.558.
4. We know, that x% equals 45.78 of the output value, so we can write it down as x%=45.78.
5. Now we have two simple equations:
1) 100%=47.558
2) x%=45.78
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%=47.558/45.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.78 is what percent of 47.558

100%/x%=47.558/45.78
(100/x)*x=(47.558/45.78)*x       - we multiply both sides of the equation by x
100=1.0388379204893*x       - we divide both sides of the equation by (1.0388379204893) to get x
100/1.0388379204893=x
96.261407123933=x
x=96.261407123933

now we have:
45.78 is 96.261407123933% of 47.558