What is 7.01 percent of 6.52 - 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 6.52 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 6.52 is 100%, so we can write it down as 6.52=100%.
4. We know, that x is 7.01% of the output value, so we can write it down as x=7.01%.
5. Now we have two simple equations:
1) 6.52=100%
2) x=7.01%
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:
6.52/x=100%/7.01%
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 7.01% of 6.52

6.52/x=100/7.01
(6.52/x)*x=(100/7.01)*x       - we multiply both sides of the equation by x
6.52=14.265335235378*x       - we divide both sides of the equation by (14.265335235378) to get x
6.52/14.265335235378=x
0.457052=x
x=0.457052

now we have:
7.01% of 6.52=0.457052