312.98 is what percent of 871.02 - 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 871.02 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 871.02, so we can write it down as 100%=871.02.
4. We know, that x% equals 312.98 of the output value, so we can write it down as x%=312.98.
5. Now we have two simple equations:
1) 100%=871.02
2) x%=312.98
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%=871.02/312.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 312.98 is what percent of 871.02

100%/x%=871.02/312.98
(100/x)*x=(871.02/312.98)*x       - we multiply both sides of the equation by x
100=2.7829893283916*x       - we divide both sides of the equation by (2.7829893283916) to get x
100/2.7829893283916=x
35.932584785654=x
x=35.932584785654

now we have:
312.98 is 35.932584785654% of 871.02