What is 26.315789 percent of 1140 - 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 1140 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 1140 is 100%, so we can write it down as 1140=100%.
4. We know, that x is 26.315789% of the output value, so we can write it down as x=26.315789%.
5. Now we have two simple equations:
1) 1140=100%
2) x=26.315789%
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:
1140/x=100%/26.315789%
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 26.315789% of 1140

1140/x=100/26.315789
(1140/x)*x=(100/26.315789)*x       - we multiply both sides of the equation by x
1140=3.8000000684*x       - we divide both sides of the equation by (3.8000000684) to get x
1140/3.8000000684=x
299.9999946=x
x=299.9999946

now we have:
26.315789% of 1140=299.9999946