0.57 is what percent of 6.86 - 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 6.86 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 6.86, so we can write it down as 100%=6.86.
4. We know, that x% equals 0.57 of the output value, so we can write it down as x%=0.57.
5. Now we have two simple equations:
1) 100%=6.86
2) x%=0.57
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%=6.86/0.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.57 is what percent of 6.86

100%/x%=6.86/0.57
(100/x)*x=(6.86/0.57)*x       - we multiply both sides of the equation by x
100=12.035087719298*x       - we divide both sides of the equation by (12.035087719298) to get x
100/12.035087719298=x
8.3090379008746=x
x=8.3090379008746

now we have:
0.57 is 8.3090379008746% of 6.86