161.99 is what percent of 1.188 - 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 1.188 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 1.188, so we can write it down as 100%=1.188.
4. We know, that x% equals 161.99 of the output value, so we can write it down as x%=161.99.
5. Now we have two simple equations:
1) 100%=1.188
2) x%=161.99
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%=1.188/161.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 161.99 is what percent of 1.188

100%/x%=1.188/161.99
(100/x)*x=(1.188/161.99)*x       - we multiply both sides of the equation by x
100=0.0073337860361751*x       - we divide both sides of the equation by (0.0073337860361751) to get x
100/0.0073337860361751=x
13635.521885522=x
x=13635.521885522

now we have:
161.99 is 13635.521885522% of 1.188