885.99 is what percent of 5966.23 - 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 5966.23 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 5966.23, so we can write it down as 100%=5966.23.
4. We know, that x% equals 885.99 of the output value, so we can write it down as x%=885.99.
5. Now we have two simple equations:
1) 100%=5966.23
2) x%=885.99
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%=5966.23/885.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 885.99 is what percent of 5966.23

100%/x%=5966.23/885.99
(100/x)*x=(5966.23/885.99)*x       - we multiply both sides of the equation by x
100=6.7339699093669*x       - we divide both sides of the equation by (6.7339699093669) to get x
100/6.7339699093669=x
14.85008120706=x
x=14.85008120706

now we have:
885.99 is 14.85008120706% of 5966.23