265.18 is what percent of 6750 - 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 6750 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 6750, so we can write it down as 100%=6750.
4. We know, that x% equals 265.18 of the output value, so we can write it down as x%=265.18.
5. Now we have two simple equations:
1) 100%=6750
2) x%=265.18
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%=6750/265.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 265.18 is what percent of 6750

100%/x%=6750/265.18
(100/x)*x=(6750/265.18)*x       - we multiply both sides of the equation by x
100=25.45440832642*x       - we divide both sides of the equation by (25.45440832642) to get x
100/25.45440832642=x
3.9285925925926=x
x=3.9285925925926

now we have:
265.18 is 3.9285925925926% of 6750