55.35 is what percent of 10.35 - 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 10.35 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 10.35, so we can write it down as 100%=10.35.
4. We know, that x% equals 55.35 of the output value, so we can write it down as x%=55.35.
5. Now we have two simple equations:
1) 100%=10.35
2) x%=55.35
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%=10.35/55.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.35 is what percent of 10.35

100%/x%=10.35/55.35
(100/x)*x=(10.35/55.35)*x       - we multiply both sides of the equation by x
100=0.1869918699187*x       - we divide both sides of the equation by (0.1869918699187) to get x
100/0.1869918699187=x
534.78260869565=x
x=534.78260869565

now we have:
55.35 is 534.78260869565% of 10.35