What is 5.15 percent of 165.847 - 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 165.847 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 165.847 is 100%, so we can write it down as 165.847=100%.
4. We know, that x is 5.15% of the output value, so we can write it down as x=5.15%.
5. Now we have two simple equations:
1) 165.847=100%
2) x=5.15%
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:
165.847/x=100%/5.15%
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 5.15% of 165.847

165.847/x=100/5.15
(165.847/x)*x=(100/5.15)*x       - we multiply both sides of the equation by x
165.847=19.417475728155*x       - we divide both sides of the equation by (19.417475728155) to get x
165.847/19.417475728155=x
8.5411205=x
x=8.5411205

now we have:
5.15% of 165.847=8.5411205