299.14 is what percent of 311.02 - 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 311.02 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 311.02, so we can write it down as 100%=311.02.
4. We know, that x% equals 299.14 of the output value, so we can write it down as x%=299.14.
5. Now we have two simple equations:
1) 100%=311.02
2) x%=299.14
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%=311.02/299.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 299.14 is what percent of 311.02

100%/x%=311.02/299.14
(100/x)*x=(311.02/299.14)*x       - we multiply both sides of the equation by x
100=1.0397138463596*x       - we divide both sides of the equation by (1.0397138463596) to get x
100/1.0397138463596=x
96.180309947913=x
x=96.180309947913

now we have:
299.14 is 96.180309947913% of 311.02