158.82 is what percent of 199.88 - 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 199.88 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 199.88, so we can write it down as 100%=199.88.
4. We know, that x% equals 158.82 of the output value, so we can write it down as x%=158.82.
5. Now we have two simple equations:
1) 100%=199.88
2) x%=158.82
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%=199.88/158.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 158.82 is what percent of 199.88

100%/x%=199.88/158.82
(100/x)*x=(199.88/158.82)*x       - we multiply both sides of the equation by x
100=1.2585316710742*x       - we divide both sides of the equation by (1.2585316710742) to get x
100/1.2585316710742=x
79.457674604763=x
x=79.457674604763

now we have:
158.82 is 79.457674604763% of 199.88