167.19 is what percent of 5520.83 - 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 5520.83 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 100% equals 5520.83, so we can write it down as 100%=5520.83.
4. We know, that x% equals 167.19 of the output value, so we can write it down as x%=167.19.
5. Now we have two simple equations:
1) 100%=5520.83
2) x%=167.19
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:
100%/x%=5520.83/167.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 167.19 is what percent of 5520.83

100%/x%=5520.83/167.19
(100/x)*x=(5520.83/167.19)*x       - we multiply both sides of the equation by x
100=33.021293139542*x       - we divide both sides of the equation by (33.021293139542) to get x
100/33.021293139542=x
3.0283489982485=x
x=3.0283489982485

now we have:
167.19 is 3.0283489982485% of 5520.83