What is 6.4 percent of 167.9 - 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 167.9 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 167.9 is 100%, so we can write it down as 167.9=100%.
4. We know, that x is 6.4% of the output value, so we can write it down as x=6.4%.
5. Now we have two simple equations:
1) 167.9=100%
2) x=6.4%
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:
167.9/x=100%/6.4%
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 6.4% of 167.9

167.9/x=100/6.4
(167.9/x)*x=(100/6.4)*x       - we multiply both sides of the equation by x
167.9=15.625*x       - we divide both sides of the equation by (15.625) to get x
167.9/15.625=x
10.7456=x
x=10.7456

now we have:
6.4% of 167.9=10.7456