36.58 is what percent of 1422.13 - 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 1422.13 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 1422.13, so we can write it down as 100%=1422.13.
4. We know, that x% equals 36.58 of the output value, so we can write it down as x%=36.58.
5. Now we have two simple equations:
1) 100%=1422.13
2) x%=36.58
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%=1422.13/36.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.58 is what percent of 1422.13

100%/x%=1422.13/36.58
(100/x)*x=(1422.13/36.58)*x       - we multiply both sides of the equation by x
100=38.877255330782*x       - we divide both sides of the equation by (38.877255330782) to get x
100/38.877255330782=x
2.5721980409667=x
x=2.5721980409667

now we have:
36.58 is 2.5721980409667% of 1422.13