What is 31.578947368421 percent of 1103 - 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 1103 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 1103 is 100%, so we can write it down as 1103=100%.
4. We know, that x is 31.578947368421% of the output value, so we can write it down as x=31.578947368421%.
5. Now we have two simple equations:
1) 1103=100%
2) x=31.578947368421%
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:
1103/x=100%/31.578947368421%
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 31.578947368421% of 1103

1103/x=100/31.578947368421
(1103/x)*x=(100/31.578947368421)*x       - we multiply both sides of the equation by x
1103=3.1666666666667*x       - we divide both sides of the equation by (3.1666666666667) to get x
1103/3.1666666666667=x
348.31578947368=x
x=348.31578947368

now we have:
31.578947368421% of 1103=348.31578947368