872.46 is what percent of 1877.85 - 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 1877.85 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 1877.85, so we can write it down as 100%=1877.85.
4. We know, that x% equals 872.46 of the output value, so we can write it down as x%=872.46.
5. Now we have two simple equations:
1) 100%=1877.85
2) x%=872.46
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%=1877.85/872.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 872.46 is what percent of 1877.85

100%/x%=1877.85/872.46
(100/x)*x=(1877.85/872.46)*x       - we multiply both sides of the equation by x
100=2.1523622859501*x       - we divide both sides of the equation by (2.1523622859501) to get x
100/2.1523622859501=x
46.460579918524=x
x=46.460579918524

now we have:
872.46 is 46.460579918524% of 1877.85