What is 30.78 percent of 1021.05 - 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 1021.05 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 1021.05 is 100%, so we can write it down as 1021.05=100%.
4. We know, that x is 30.78% of the output value, so we can write it down as x=30.78%.
5. Now we have two simple equations:
1) 1021.05=100%
2) x=30.78%
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:
1021.05/x=100%/30.78%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 30.78% of 1021.05

1021.05/x=100/30.78
(1021.05/x)*x=(100/30.78)*x       - we multiply both sides of the equation by x
1021.05=3.2488628979857*x       - we divide both sides of the equation by (3.2488628979857) to get x
1021.05/3.2488628979857=x
314.27919=x
x=314.27919

now we have:
30.78% of 1021.05=314.27919