0.58 is what percent of 20.67 - 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 20.67 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 20.67, so we can write it down as 100%=20.67.
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%=20.67
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%=20.67/0.58
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 20.67

100%/x%=20.67/0.58
(100/x)*x=(20.67/0.58)*x       - we multiply both sides of the equation by x
100=35.637931034483*x       - we divide both sides of the equation by (35.637931034483) to get x
100/35.637931034483=x
2.8059990324141=x
x=2.8059990324141

now we have:
0.58 is 2.8059990324141% of 20.67