755.1 is what percent of 8502.2 - 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 8502.2 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 8502.2, so we can write it down as 100%=8502.2.
4. We know, that x% equals 755.1 of the output value, so we can write it down as x%=755.1.
5. Now we have two simple equations:
1) 100%=8502.2
2) x%=755.1
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%=8502.2/755.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 755.1 is what percent of 8502.2

100%/x%=8502.2/755.1
(100/x)*x=(8502.2/755.1)*x       - we multiply both sides of the equation by x
100=11.259700701894*x       - we divide both sides of the equation by (11.259700701894) to get x
100/11.259700701894=x
8.881230740279=x
x=8.881230740279

now we have:
755.1 is 8.881230740279% of 8502.2