3370.99 is what percent of 6992.15 - 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 6992.15 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 6992.15, so we can write it down as 100%=6992.15.
4. We know, that x% equals 3370.99 of the output value, so we can write it down as x%=3370.99.
5. Now we have two simple equations:
1) 100%=6992.15
2) x%=3370.99
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%=6992.15/3370.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3370.99 is what percent of 6992.15

100%/x%=6992.15/3370.99
(100/x)*x=(6992.15/3370.99)*x       - we multiply both sides of the equation by x
100=2.0742126200315*x       - we divide both sides of the equation by (2.0742126200315) to get x
100/2.0742126200315=x
48.211065266048=x
x=48.211065266048

now we have:
3370.99 is 48.211065266048% of 6992.15