8.77 is what percent of 21.69 - 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 21.69 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 21.69, so we can write it down as 100%=21.69.
4. We know, that x% equals 8.77 of the output value, so we can write it down as x%=8.77.
5. Now we have two simple equations:
1) 100%=21.69
2) x%=8.77
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%=21.69/8.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.77 is what percent of 21.69

100%/x%=21.69/8.77
(100/x)*x=(21.69/8.77)*x       - we multiply both sides of the equation by x
100=2.4732041049031*x       - we divide both sides of the equation by (2.4732041049031) to get x
100/2.4732041049031=x
40.433379437529=x
x=40.433379437529

now we have:
8.77 is 40.433379437529% of 21.69