5.655 is what percent of 4 - 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 4 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 4, so we can write it down as 100%=4.
4. We know, that x% equals 5.655 of the output value, so we can write it down as x%=5.655.
5. Now we have two simple equations:
1) 100%=4
2) x%=5.655
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%=4/5.655
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.655 is what percent of 4

100%/x%=4/5.655
(100/x)*x=(4/5.655)*x       - we multiply both sides of the equation by x
100=0.70733863837312*x       - we divide both sides of the equation by (0.70733863837312) to get x
100/0.70733863837312=x
141.375=x
x=141.375

now we have:
5.655 is 141.375% of 4