55.3 is what percent of 76.4 - 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 76.4 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 76.4, so we can write it down as 100%=76.4.
4. We know, that x% equals 55.3 of the output value, so we can write it down as x%=55.3.
5. Now we have two simple equations:
1) 100%=76.4
2) x%=55.3
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%=76.4/55.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.3 is what percent of 76.4

100%/x%=76.4/55.3
(100/x)*x=(76.4/55.3)*x       - we multiply both sides of the equation by x
100=1.3815551537071*x       - we divide both sides of the equation by (1.3815551537071) to get x
100/1.3815551537071=x
72.38219895288=x
x=72.38219895288

now we have:
55.3 is 72.38219895288% of 76.4