101.78 is what percent of 828.78 - 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 828.78 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 828.78, so we can write it down as 100%=828.78.
4. We know, that x% equals 101.78 of the output value, so we can write it down as x%=101.78.
5. Now we have two simple equations:
1) 100%=828.78
2) x%=101.78
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%=828.78/101.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 101.78 is what percent of 828.78

100%/x%=828.78/101.78
(100/x)*x=(828.78/101.78)*x       - we multiply both sides of the equation by x
100=8.1428571428571*x       - we divide both sides of the equation by (8.1428571428571) to get x
100/8.1428571428571=x
12.280701754386=x
x=12.280701754386

now we have:
101.78 is 12.280701754386% of 828.78