187.85 is what percent of 13.093 - 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 13.093 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 13.093, so we can write it down as 100%=13.093.
4. We know, that x% equals 187.85 of the output value, so we can write it down as x%=187.85.
5. Now we have two simple equations:
1) 100%=13.093
2) x%=187.85
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%=13.093/187.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 187.85 is what percent of 13.093

100%/x%=13.093/187.85
(100/x)*x=(13.093/187.85)*x       - we multiply both sides of the equation by x
100=0.069699228107533*x       - we divide both sides of the equation by (0.069699228107533) to get x
100/0.069699228107533=x
1434.7361185366=x
x=1434.7361185366

now we have:
187.85 is 1434.7361185366% of 13.093