5.4 is what percent of 260.7 - 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 260.7 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 260.7, so we can write it down as 100%=260.7.
4. We know, that x% equals 5.4 of the output value, so we can write it down as x%=5.4.
5. Now we have two simple equations:
1) 100%=260.7
2) x%=5.4
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%=260.7/5.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.4 is what percent of 260.7

100%/x%=260.7/5.4
(100/x)*x=(260.7/5.4)*x       - we multiply both sides of the equation by x
100=48.277777777778*x       - we divide both sides of the equation by (48.277777777778) to get x
100/48.277777777778=x
2.0713463751438=x
x=2.0713463751438

now we have:
5.4 is 2.0713463751438% of 260.7