What is 598.5 percent of 7.07 - 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 7.07 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 7.07 is 100%, so we can write it down as 7.07=100%.
4. We know, that x is 598.5% of the output value, so we can write it down as x=598.5%.
5. Now we have two simple equations:
1) 7.07=100%
2) x=598.5%
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:
7.07/x=100%/598.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 598.5% of 7.07

7.07/x=100/598.5
(7.07/x)*x=(100/598.5)*x       - we multiply both sides of the equation by x
7.07=0.16708437761069*x       - we divide both sides of the equation by (0.16708437761069) to get x
7.07/0.16708437761069=x
42.31395=x
x=42.31395

now we have:
598.5% of 7.07=42.31395