0.6 is what percent of 86.46 - 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 86.46 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 86.46, so we can write it down as 100%=86.46.
4. We know, that x% equals 0.6 of the output value, so we can write it down as x%=0.6.
5. Now we have two simple equations:
1) 100%=86.46
2) x%=0.6
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%=86.46/0.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.6 is what percent of 86.46

100%/x%=86.46/0.6
(100/x)*x=(86.46/0.6)*x       - we multiply both sides of the equation by x
100=144.1*x       - we divide both sides of the equation by (144.1) to get x
100/144.1=x
0.69396252602359=x
x=0.69396252602359

now we have:
0.6 is 0.69396252602359% of 86.46