What is 6.42 percent of 10.52 - 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 10.52 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 10.52 is 100%, so we can write it down as 10.52=100%.
4. We know, that x is 6.42% of the output value, so we can write it down as x=6.42%.
5. Now we have two simple equations:
1) 10.52=100%
2) x=6.42%
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:
10.52/x=100%/6.42%
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 6.42% of 10.52

10.52/x=100/6.42
(10.52/x)*x=(100/6.42)*x       - we multiply both sides of the equation by x
10.52=15.576323987539*x       - we divide both sides of the equation by (15.576323987539) to get x
10.52/15.576323987539=x
0.675384=x
x=0.675384

now we have:
6.42% of 10.52=0.675384