60.16 is what percent of 159.83 - 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 159.83 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 159.83, so we can write it down as 100%=159.83.
4. We know, that x% equals 60.16 of the output value, so we can write it down as x%=60.16.
5. Now we have two simple equations:
1) 100%=159.83
2) x%=60.16
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%=159.83/60.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.16 is what percent of 159.83

100%/x%=159.83/60.16
(100/x)*x=(159.83/60.16)*x       - we multiply both sides of the equation by x
100=2.6567486702128*x       - we divide both sides of the equation by (2.6567486702128) to get x
100/2.6567486702128=x
37.639992492023=x
x=37.639992492023

now we have:
60.16 is 37.639992492023% of 159.83