1455.17 is what percent of 11250 - 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 11250 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 11250, so we can write it down as 100%=11250.
4. We know, that x% equals 1455.17 of the output value, so we can write it down as x%=1455.17.
5. Now we have two simple equations:
1) 100%=11250
2) x%=1455.17
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%=11250/1455.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1455.17 is what percent of 11250

100%/x%=11250/1455.17
(100/x)*x=(11250/1455.17)*x       - we multiply both sides of the equation by x
100=7.7310554780541*x       - we divide both sides of the equation by (7.7310554780541) to get x
100/7.7310554780541=x
12.934844444444=x
x=12.934844444444

now we have:
1455.17 is 12.934844444444% of 11250