335.96 is what percent of 356.96 - 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 356.96 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 356.96, so we can write it down as 100%=356.96.
4. We know, that x% equals 335.96 of the output value, so we can write it down as x%=335.96.
5. Now we have two simple equations:
1) 100%=356.96
2) x%=335.96
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%=356.96/335.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 335.96 is what percent of 356.96

100%/x%=356.96/335.96
(100/x)*x=(356.96/335.96)*x       - we multiply both sides of the equation by x
100=1.0625074413621*x       - we divide both sides of the equation by (1.0625074413621) to get x
100/1.0625074413621=x
94.116987897804=x
x=94.116987897804

now we have:
335.96 is 94.116987897804% of 356.96