862.05 is what percent of 946.89 - 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 946.89 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 946.89, so we can write it down as 100%=946.89.
4. We know, that x% equals 862.05 of the output value, so we can write it down as x%=862.05.
5. Now we have two simple equations:
1) 100%=946.89
2) x%=862.05
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%=946.89/862.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 862.05 is what percent of 946.89

100%/x%=946.89/862.05
(100/x)*x=(946.89/862.05)*x       - we multiply both sides of the equation by x
100=1.0984165651644*x       - we divide both sides of the equation by (1.0984165651644) to get x
100/1.0984165651644=x
91.040141938346=x
x=91.040141938346

now we have:
862.05 is 91.040141938346% of 946.89