4.55 is what percent of 5.45 - 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 5.45 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 5.45, so we can write it down as 100%=5.45.
4. We know, that x% equals 4.55 of the output value, so we can write it down as x%=4.55.
5. Now we have two simple equations:
1) 100%=5.45
2) x%=4.55
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%=5.45/4.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.55 is what percent of 5.45

100%/x%=5.45/4.55
(100/x)*x=(5.45/4.55)*x       - we multiply both sides of the equation by x
100=1.1978021978022*x       - we divide both sides of the equation by (1.1978021978022) to get x
100/1.1978021978022=x
83.48623853211=x
x=83.48623853211

now we have:
4.55 is 83.48623853211% of 5.45