863 is what percent of 977 - 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 977 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 977, so we can write it down as 100%=977.
4. We know, that x% equals 863 of the output value, so we can write it down as x%=863.
5. Now we have two simple equations:
1) 100%=977
2) x%=863
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%=977/863
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 863 is what percent of 977

100%/x%=977/863
(100/x)*x=(977/863)*x       - we multiply both sides of the equation by x
100=1.1320973348783*x       - we divide both sides of the equation by (1.1320973348783) to get x
100/1.1320973348783=x
88.331627430911=x
x=88.331627430911

now we have:
863 is 88.331627430911% of 977