0.58 is what percent of 8.46 - 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 8.46 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 8.46, so we can write it down as 100%=8.46.
4. We know, that x% equals 0.58 of the output value, so we can write it down as x%=0.58.
5. Now we have two simple equations:
1) 100%=8.46
2) x%=0.58
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%=8.46/0.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.58 is what percent of 8.46

100%/x%=8.46/0.58
(100/x)*x=(8.46/0.58)*x       - we multiply both sides of the equation by x
100=14.586206896552*x       - we divide both sides of the equation by (14.586206896552) to get x
100/14.586206896552=x
6.8557919621749=x
x=6.8557919621749

now we have:
0.58 is 6.8557919621749% of 8.46