63 is what percent of 19.71 - 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 19.71 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 19.71, so we can write it down as 100%=19.71.
4. We know, that x% equals 63 of the output value, so we can write it down as x%=63.
5. Now we have two simple equations:
1) 100%=19.71
2) x%=63
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%=19.71/63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63 is what percent of 19.71

100%/x%=19.71/63
(100/x)*x=(19.71/63)*x       - we multiply both sides of the equation by x
100=0.31285714285714*x       - we divide both sides of the equation by (0.31285714285714) to get x
100/0.31285714285714=x
319.63470319635=x
x=319.63470319635

now we have:
63 is 319.63470319635% of 19.71