21.15 is what percent of 647.47 - 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 647.47 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 647.47, so we can write it down as 100%=647.47.
4. We know, that x% equals 21.15 of the output value, so we can write it down as x%=21.15.
5. Now we have two simple equations:
1) 100%=647.47
2) x%=21.15
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%=647.47/21.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.15 is what percent of 647.47

100%/x%=647.47/21.15
(100/x)*x=(647.47/21.15)*x       - we multiply both sides of the equation by x
100=30.613238770686*x       - we divide both sides of the equation by (30.613238770686) to get x
100/30.613238770686=x
3.2665606128469=x
x=3.2665606128469

now we have:
21.15 is 3.2665606128469% of 647.47