0.58 is what percent of 20.87 - 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 20.87 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 20.87, so we can write it down as 100%=20.87.
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%=20.87
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%=20.87/0.58
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 20.87

100%/x%=20.87/0.58
(100/x)*x=(20.87/0.58)*x       - we multiply both sides of the equation by x
100=35.98275862069*x       - we divide both sides of the equation by (35.98275862069) to get x
100/35.98275862069=x
2.7791087685673=x
x=2.7791087685673

now we have:
0.58 is 2.7791087685673% of 20.87