27.58 is what percent of 36.63 - 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 36.63 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 36.63, so we can write it down as 100%=36.63.
4. We know, that x% equals 27.58 of the output value, so we can write it down as x%=27.58.
5. Now we have two simple equations:
1) 100%=36.63
2) x%=27.58
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%=36.63/27.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.58 is what percent of 36.63

100%/x%=36.63/27.58
(100/x)*x=(36.63/27.58)*x       - we multiply both sides of the equation by x
100=1.3281363306744*x       - we divide both sides of the equation by (1.3281363306744) to get x
100/1.3281363306744=x
75.293475293475=x
x=75.293475293475

now we have:
27.58 is 75.293475293475% of 36.63