90.1 is what percent of 50.88 - 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 50.88 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 50.88, so we can write it down as 100%=50.88.
4. We know, that x% equals 90.1 of the output value, so we can write it down as x%=90.1.
5. Now we have two simple equations:
1) 100%=50.88
2) x%=90.1
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%=50.88/90.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.1 is what percent of 50.88

100%/x%=50.88/90.1
(100/x)*x=(50.88/90.1)*x       - we multiply both sides of the equation by x
100=0.56470588235294*x       - we divide both sides of the equation by (0.56470588235294) to get x
100/0.56470588235294=x
177.08333333333=x
x=177.08333333333

now we have:
90.1 is 177.08333333333% of 50.88