12.42 is what percent of 827.81 - 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 827.81 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 827.81, so we can write it down as 100%=827.81.
4. We know, that x% equals 12.42 of the output value, so we can write it down as x%=12.42.
5. Now we have two simple equations:
1) 100%=827.81
2) x%=12.42
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%=827.81/12.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.42 is what percent of 827.81

100%/x%=827.81/12.42
(100/x)*x=(827.81/12.42)*x       - we multiply both sides of the equation by x
100=66.651368760064*x       - we divide both sides of the equation by (66.651368760064) to get x
100/66.651368760064=x
1.5003442819004=x
x=1.5003442819004

now we have:
12.42 is 1.5003442819004% of 827.81