511.93 is what percent of 0.57 - 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 0.57 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 0.57, so we can write it down as 100%=0.57.
4. We know, that x% equals 511.93 of the output value, so we can write it down as x%=511.93.
5. Now we have two simple equations:
1) 100%=0.57
2) x%=511.93
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%=0.57/511.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 511.93 is what percent of 0.57

100%/x%=0.57/511.93
(100/x)*x=(0.57/511.93)*x       - we multiply both sides of the equation by x
100=0.0011134334772332*x       - we divide both sides of the equation by (0.0011134334772332) to get x
100/0.0011134334772332=x
89812.280701754=x
x=89812.280701754

now we have:
511.93 is 89812.280701754% of 0.57