7.09 is what percent of 4.01 - 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 4.01 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 4.01, so we can write it down as 100%=4.01.
4. We know, that x% equals 7.09 of the output value, so we can write it down as x%=7.09.
5. Now we have two simple equations:
1) 100%=4.01
2) x%=7.09
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%=4.01/7.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.09 is what percent of 4.01

100%/x%=4.01/7.09
(100/x)*x=(4.01/7.09)*x       - we multiply both sides of the equation by x
100=0.56558533145275*x       - we divide both sides of the equation by (0.56558533145275) to get x
100/0.56558533145275=x
176.80798004988=x
x=176.80798004988

now we have:
7.09 is 176.80798004988% of 4.01