20 is what percent of 15.63 - 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 15.63 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 15.63, so we can write it down as 100%=15.63.
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%=15.63
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%=15.63/20
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 15.63

100%/x%=15.63/20
(100/x)*x=(15.63/20)*x       - we multiply both sides of the equation by x
100=0.7815*x       - we divide both sides of the equation by (0.7815) to get x
100/0.7815=x
127.95905310301=x
x=127.95905310301

now we have:
20 is 127.95905310301% of 15.63