103.33 is what percent of 1361.99 - 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 1361.99 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 1361.99, so we can write it down as 100%=1361.99.
4. We know, that x% equals 103.33 of the output value, so we can write it down as x%=103.33.
5. Now we have two simple equations:
1) 100%=1361.99
2) x%=103.33
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%=1361.99/103.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.33 is what percent of 1361.99

100%/x%=1361.99/103.33
(100/x)*x=(1361.99/103.33)*x       - we multiply both sides of the equation by x
100=13.180973579793*x       - we divide both sides of the equation by (13.180973579793) to get x
100/13.180973579793=x
7.5866930006828=x
x=7.5866930006828

now we have:
103.33 is 7.5866930006828% of 1361.99