42.78 is what percent of 35.722 - 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 35.722 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 35.722, so we can write it down as 100%=35.722.
4. We know, that x% equals 42.78 of the output value, so we can write it down as x%=42.78.
5. Now we have two simple equations:
1) 100%=35.722
2) x%=42.78
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%=35.722/42.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.78 is what percent of 35.722

100%/x%=35.722/42.78
(100/x)*x=(35.722/42.78)*x       - we multiply both sides of the equation by x
100=0.83501636278635*x       - we divide both sides of the equation by (0.83501636278635) to get x
100/0.83501636278635=x
119.75813224344=x
x=119.75813224344

now we have:
42.78 is 119.75813224344% of 35.722