132.78 is what percent of 1355 - 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 1355 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 1355, so we can write it down as 100%=1355.
4. We know, that x% equals 132.78 of the output value, so we can write it down as x%=132.78.
5. Now we have two simple equations:
1) 100%=1355
2) x%=132.78
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%=1355/132.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 132.78 is what percent of 1355

100%/x%=1355/132.78
(100/x)*x=(1355/132.78)*x       - we multiply both sides of the equation by x
100=10.204850128031*x       - we divide both sides of the equation by (10.204850128031) to get x
100/10.204850128031=x
9.7992619926199=x
x=9.7992619926199

now we have:
132.78 is 9.7992619926199% of 1355