977.78 is what percent of 3041.78 - 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 3041.78 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 3041.78, so we can write it down as 100%=3041.78.
4. We know, that x% equals 977.78 of the output value, so we can write it down as x%=977.78.
5. Now we have two simple equations:
1) 100%=3041.78
2) x%=977.78
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%=3041.78/977.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 977.78 is what percent of 3041.78

100%/x%=3041.78/977.78
(100/x)*x=(3041.78/977.78)*x       - we multiply both sides of the equation by x
100=3.1109042933993*x       - we divide both sides of the equation by (3.1109042933993) to get x
100/3.1109042933993=x
32.144994049537=x
x=32.144994049537

now we have:
977.78 is 32.144994049537% of 3041.78