135.34 is what percent of 1787.31 - 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 1787.31 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 1787.31, so we can write it down as 100%=1787.31.
4. We know, that x% equals 135.34 of the output value, so we can write it down as x%=135.34.
5. Now we have two simple equations:
1) 100%=1787.31
2) x%=135.34
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%=1787.31/135.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 135.34 is what percent of 1787.31

100%/x%=1787.31/135.34
(100/x)*x=(1787.31/135.34)*x       - we multiply both sides of the equation by x
100=13.206073592434*x       - we divide both sides of the equation by (13.206073592434) to get x
100/13.206073592434=x
7.572273416475=x
x=7.572273416475

now we have:
135.34 is 7.572273416475% of 1787.31