What is 7.07 percent of 1506.29 - 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 1506.29 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 1506.29 is 100%, so we can write it down as 1506.29=100%.
4. We know, that x is 7.07% of the output value, so we can write it down as x=7.07%.
5. Now we have two simple equations:
1) 1506.29=100%
2) x=7.07%
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:
1506.29/x=100%/7.07%
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 7.07% of 1506.29

1506.29/x=100/7.07
(1506.29/x)*x=(100/7.07)*x       - we multiply both sides of the equation by x
1506.29=14.144271570014*x       - we divide both sides of the equation by (14.144271570014) to get x
1506.29/14.144271570014=x
106.494703=x
x=106.494703

now we have:
7.07% of 1506.29=106.494703