4 is what percent of 5.333 - 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 5.333 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 5.333, so we can write it down as 100%=5.333.
4. We know, that x% equals 4 of the output value, so we can write it down as x%=4.
5. Now we have two simple equations:
1) 100%=5.333
2) x%=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%=5.333/4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4 is what percent of 5.333

100%/x%=5.333/4
(100/x)*x=(5.333/4)*x       - we multiply both sides of the equation by x
100=1.33325*x       - we divide both sides of the equation by (1.33325) to get x
100/1.33325=x
75.004687792987=x
x=75.004687792987

now we have:
4 is 75.004687792987% of 5.333