3.63 is what percent of 21.37 - 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 21.37 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 21.37, so we can write it down as 100%=21.37.
4. We know, that x% equals 3.63 of the output value, so we can write it down as x%=3.63.
5. Now we have two simple equations:
1) 100%=21.37
2) x%=3.63
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%=21.37/3.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.63 is what percent of 21.37

100%/x%=21.37/3.63
(100/x)*x=(21.37/3.63)*x       - we multiply both sides of the equation by x
100=5.8870523415978*x       - we divide both sides of the equation by (5.8870523415978) to get x
100/5.8870523415978=x
16.986429574169=x
x=16.986429574169

now we have:
3.63 is 16.986429574169% of 21.37