5.75 is what percent of 6.025 - 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 6.025 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 6.025, so we can write it down as 100%=6.025.
4. We know, that x% equals 5.75 of the output value, so we can write it down as x%=5.75.
5. Now we have two simple equations:
1) 100%=6.025
2) x%=5.75
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%=6.025/5.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.75 is what percent of 6.025

100%/x%=6.025/5.75
(100/x)*x=(6.025/5.75)*x       - we multiply both sides of the equation by x
100=1.0478260869565*x       - we divide both sides of the equation by (1.0478260869565) to get x
100/1.0478260869565=x
95.435684647303=x
x=95.435684647303

now we have:
5.75 is 95.435684647303% of 6.025