50.56 is what percent of 159 - 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 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, so we can write it down as 100%=159.
4. We know, that x% equals 50.56 of the output value, so we can write it down as x%=50.56.
5. Now we have two simple equations:
1) 100%=159
2) x%=50.56
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%=159/50.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.56 is what percent of 159

100%/x%=159/50.56
(100/x)*x=(159/50.56)*x       - we multiply both sides of the equation by x
100=3.1447784810127*x       - we divide both sides of the equation by (3.1447784810127) to get x
100/3.1447784810127=x
31.798742138365=x
x=31.798742138365

now we have:
50.56 is 31.798742138365% of 159