4.01 is what percent of 5.258 - 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 5.258 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 5.258, so we can write it down as 100%=5.258.
4. We know, that x% equals 4.01 of the output value, so we can write it down as x%=4.01.
5. Now we have two simple equations:
1) 100%=5.258
2) x%=4.01
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%=5.258/4.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.01 is what percent of 5.258

100%/x%=5.258/4.01
(100/x)*x=(5.258/4.01)*x       - we multiply both sides of the equation by x
100=1.3112219451372*x       - we divide both sides of the equation by (1.3112219451372) to get x
100/1.3112219451372=x
76.264739444656=x
x=76.264739444656

now we have:
4.01 is 76.264739444656% of 5.258