54.99 is what percent of 45.49 - 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 45.49 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 45.49, so we can write it down as 100%=45.49.
4. We know, that x% equals 54.99 of the output value, so we can write it down as x%=54.99.
5. Now we have two simple equations:
1) 100%=45.49
2) x%=54.99
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%=45.49/54.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.99 is what percent of 45.49

100%/x%=45.49/54.99
(100/x)*x=(45.49/54.99)*x       - we multiply both sides of the equation by x
100=0.82724131660302*x       - we divide both sides of the equation by (0.82724131660302) to get x
100/0.82724131660302=x
120.88371070565=x
x=120.88371070565

now we have:
54.99 is 120.88371070565% of 45.49