45.5 is what percent of 49.95 - 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 49.95 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 49.95, so we can write it down as 100%=49.95.
4. We know, that x% equals 45.5 of the output value, so we can write it down as x%=45.5.
5. Now we have two simple equations:
1) 100%=49.95
2) x%=45.5
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%=49.95/45.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.5 is what percent of 49.95

100%/x%=49.95/45.5
(100/x)*x=(49.95/45.5)*x       - we multiply both sides of the equation by x
100=1.0978021978022*x       - we divide both sides of the equation by (1.0978021978022) to get x
100/1.0978021978022=x
91.091091091091=x
x=91.091091091091

now we have:
45.5 is 91.091091091091% of 49.95