31.42 is what percent of 20 - 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 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, so we can write it down as 100%=20.
4. We know, that x% equals 31.42 of the output value, so we can write it down as x%=31.42.
5. Now we have two simple equations:
1) 100%=20
2) x%=31.42
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%=20/31.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.42 is what percent of 20

100%/x%=20/31.42
(100/x)*x=(20/31.42)*x       - we multiply both sides of the equation by x
100=0.63653723742839*x       - we divide both sides of the equation by (0.63653723742839) to get x
100/0.63653723742839=x
157.1=x
x=157.1

now we have:
31.42 is 157.1% of 20