388.31 is what percent of 826.2 - 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 826.2 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 826.2, so we can write it down as 100%=826.2.
4. We know, that x% equals 388.31 of the output value, so we can write it down as x%=388.31.
5. Now we have two simple equations:
1) 100%=826.2
2) x%=388.31
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%=826.2/388.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 388.31 is what percent of 826.2

100%/x%=826.2/388.31
(100/x)*x=(826.2/388.31)*x       - we multiply both sides of the equation by x
100=2.1276814915918*x       - we divide both sides of the equation by (2.1276814915918) to get x
100/2.1276814915918=x
46.999515855725=x
x=46.999515855725

now we have:
388.31 is 46.999515855725% of 826.2