158.95 is what percent of 208.95 - 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 208.95 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 208.95, so we can write it down as 100%=208.95.
4. We know, that x% equals 158.95 of the output value, so we can write it down as x%=158.95.
5. Now we have two simple equations:
1) 100%=208.95
2) x%=158.95
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%=208.95/158.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 158.95 is what percent of 208.95

100%/x%=208.95/158.95
(100/x)*x=(208.95/158.95)*x       - we multiply both sides of the equation by x
100=1.3145643284052*x       - we divide both sides of the equation by (1.3145643284052) to get x
100/1.3145643284052=x
76.070830342187=x
x=76.070830342187

now we have:
158.95 is 76.070830342187% of 208.95