848.26 is what percent of 5565.17 - 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 5565.17 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 5565.17, so we can write it down as 100%=5565.17.
4. We know, that x% equals 848.26 of the output value, so we can write it down as x%=848.26.
5. Now we have two simple equations:
1) 100%=5565.17
2) x%=848.26
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%=5565.17/848.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 848.26 is what percent of 5565.17

100%/x%=5565.17/848.26
(100/x)*x=(5565.17/848.26)*x       - we multiply both sides of the equation by x
100=6.5606889397119*x       - we divide both sides of the equation by (6.5606889397119) to get x
100/6.5606889397119=x
15.242301672725=x
x=15.242301672725

now we have:
848.26 is 15.242301672725% of 5565.17