20 is what percent of 31.01 - 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 31.01 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 31.01, so we can write it down as 100%=31.01.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=31.01
2) x%=20
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%=31.01/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 31.01

100%/x%=31.01/20
(100/x)*x=(31.01/20)*x       - we multiply both sides of the equation by x
100=1.5505*x       - we divide both sides of the equation by (1.5505) to get x
100/1.5505=x
64.495324089004=x
x=64.495324089004

now we have:
20 is 64.495324089004% of 31.01