5742.5 is what percent of 6308.25 - 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 6308.25 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 6308.25, so we can write it down as 100%=6308.25.
4. We know, that x% equals 5742.5 of the output value, so we can write it down as x%=5742.5.
5. Now we have two simple equations:
1) 100%=6308.25
2) x%=5742.5
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%=6308.25/5742.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5742.5 is what percent of 6308.25

100%/x%=6308.25/5742.5
(100/x)*x=(6308.25/5742.5)*x       - we multiply both sides of the equation by x
100=1.0985198084458*x       - we divide both sides of the equation by (1.0985198084458) to get x
100/1.0985198084458=x
91.031585622003=x
x=91.031585622003

now we have:
5742.5 is 91.031585622003% of 6308.25