0.63 is what percent of 13.21 - 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 13.21 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 13.21, so we can write it down as 100%=13.21.
4. We know, that x% equals 0.63 of the output value, so we can write it down as x%=0.63.
5. Now we have two simple equations:
1) 100%=13.21
2) x%=0.63
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%=13.21/0.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.63 is what percent of 13.21

100%/x%=13.21/0.63
(100/x)*x=(13.21/0.63)*x       - we multiply both sides of the equation by x
100=20.968253968254*x       - we divide both sides of the equation by (20.968253968254) to get x
100/20.968253968254=x
4.7691143073429=x
x=4.7691143073429

now we have:
0.63 is 4.7691143073429% of 13.21