What is 11.45 percent of 10200 - 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 10200 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 10200 is 100%, so we can write it down as 10200=100%.
4. We know, that x is 11.45% of the output value, so we can write it down as x=11.45%.
5. Now we have two simple equations:
1) 10200=100%
2) x=11.45%
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:
10200/x=100%/11.45%
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 11.45% of 10200

10200/x=100/11.45
(10200/x)*x=(100/11.45)*x       - we multiply both sides of the equation by x
10200=8.7336244541485*x       - we divide both sides of the equation by (8.7336244541485) to get x
10200/8.7336244541485=x
1167.9=x
x=1167.9

now we have:
11.45% of 10200=1167.9