545.51 is what percent of 10711.74 - 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 10711.74 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 10711.74, so we can write it down as 100%=10711.74.
4. We know, that x% equals 545.51 of the output value, so we can write it down as x%=545.51.
5. Now we have two simple equations:
1) 100%=10711.74
2) x%=545.51
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%=10711.74/545.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 545.51 is what percent of 10711.74

100%/x%=10711.74/545.51
(100/x)*x=(10711.74/545.51)*x       - we multiply both sides of the equation by x
100=19.636193653645*x       - we divide both sides of the equation by (19.636193653645) to get x
100/19.636193653645=x
5.0926366771412=x
x=5.0926366771412

now we have:
545.51 is 5.0926366771412% of 10711.74