158.84 is what percent of 3280.87 - 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 3280.87 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 3280.87, so we can write it down as 100%=3280.87.
4. We know, that x% equals 158.84 of the output value, so we can write it down as x%=158.84.
5. Now we have two simple equations:
1) 100%=3280.87
2) x%=158.84
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%=3280.87/158.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 158.84 is what percent of 3280.87

100%/x%=3280.87/158.84
(100/x)*x=(3280.87/158.84)*x       - we multiply both sides of the equation by x
100=20.655187610174*x       - we divide both sides of the equation by (20.655187610174) to get x
100/20.655187610174=x
4.8413987753248=x
x=4.8413987753248

now we have:
158.84 is 4.8413987753248% of 3280.87