1059.23 is what percent of 1077.98 - 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 1077.98 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 1077.98, so we can write it down as 100%=1077.98.
4. We know, that x% equals 1059.23 of the output value, so we can write it down as x%=1059.23.
5. Now we have two simple equations:
1) 100%=1077.98
2) x%=1059.23
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%=1077.98/1059.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1059.23 is what percent of 1077.98

100%/x%=1077.98/1059.23
(100/x)*x=(1077.98/1059.23)*x       - we multiply both sides of the equation by x
100=1.0177015379096*x       - we divide both sides of the equation by (1.0177015379096) to get x
100/1.0177015379096=x
98.260635633314=x
x=98.260635633314

now we have:
1059.23 is 98.260635633314% of 1077.98