42.26 is what percent of 2780.25 - 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 2780.25 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 2780.25, so we can write it down as 100%=2780.25.
4. We know, that x% equals 42.26 of the output value, so we can write it down as x%=42.26.
5. Now we have two simple equations:
1) 100%=2780.25
2) x%=42.26
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%=2780.25/42.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.26 is what percent of 2780.25

100%/x%=2780.25/42.26
(100/x)*x=(2780.25/42.26)*x       - we multiply both sides of the equation by x
100=65.789162328443*x       - we divide both sides of the equation by (65.789162328443) to get x
100/65.789162328443=x
1.5200071935977=x
x=1.5200071935977

now we have:
42.26 is 1.5200071935977% of 2780.25