5167.75 is what percent of 5213.75 - 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 5213.75 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 5213.75, so we can write it down as 100%=5213.75.
4. We know, that x% equals 5167.75 of the output value, so we can write it down as x%=5167.75.
5. Now we have two simple equations:
1) 100%=5213.75
2) x%=5167.75
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%=5213.75/5167.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5167.75 is what percent of 5213.75

100%/x%=5213.75/5167.75
(100/x)*x=(5213.75/5167.75)*x       - we multiply both sides of the equation by x
100=1.0089013593924*x       - we divide both sides of the equation by (1.0089013593924) to get x
100/1.0089013593924=x
99.117717573723=x
x=99.117717573723

now we have:
5167.75 is 99.117717573723% of 5213.75