3428.75 is what percent of 3377.5 - 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 3377.5 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 3377.5, so we can write it down as 100%=3377.5.
4. We know, that x% equals 3428.75 of the output value, so we can write it down as x%=3428.75.
5. Now we have two simple equations:
1) 100%=3377.5
2) x%=3428.75
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%=3377.5/3428.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3428.75 is what percent of 3377.5

100%/x%=3377.5/3428.75
(100/x)*x=(3377.5/3428.75)*x       - we multiply both sides of the equation by x
100=0.98505286183011*x       - we divide both sides of the equation by (0.98505286183011) to get x
100/0.98505286183011=x
101.51739452258=x
x=101.51739452258

now we have:
3428.75 is 101.51739452258% of 3377.5