4252.75 is what percent of 6204.5 - 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 6204.5 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 6204.5, so we can write it down as 100%=6204.5.
4. We know, that x% equals 4252.75 of the output value, so we can write it down as x%=4252.75.
5. Now we have two simple equations:
1) 100%=6204.5
2) x%=4252.75
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%=6204.5/4252.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4252.75 is what percent of 6204.5

100%/x%=6204.5/4252.75
(100/x)*x=(6204.5/4252.75)*x       - we multiply both sides of the equation by x
100=1.4589383340192*x       - we divide both sides of the equation by (1.4589383340192) to get x
100/1.4589383340192=x
68.54299298896=x
x=68.54299298896

now we have:
4252.75 is 68.54299298896% of 6204.5