11.63 is what percent of 5.21 - 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 5.21 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 5.21, so we can write it down as 100%=5.21.
4. We know, that x% equals 11.63 of the output value, so we can write it down as x%=11.63.
5. Now we have two simple equations:
1) 100%=5.21
2) x%=11.63
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%=5.21/11.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.63 is what percent of 5.21

100%/x%=5.21/11.63
(100/x)*x=(5.21/11.63)*x       - we multiply both sides of the equation by x
100=0.44797936371453*x       - we divide both sides of the equation by (0.44797936371453) to get x
100/0.44797936371453=x
223.2245681382=x
x=223.2245681382

now we have:
11.63 is 223.2245681382% of 5.21