7145.03 is what percent of 49021.18 - 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 49021.18 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 49021.18, so we can write it down as 100%=49021.18.
4. We know, that x% equals 7145.03 of the output value, so we can write it down as x%=7145.03.
5. Now we have two simple equations:
1) 100%=49021.18
2) x%=7145.03
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%=49021.18/7145.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7145.03 is what percent of 49021.18

100%/x%=49021.18/7145.03
(100/x)*x=(49021.18/7145.03)*x       - we multiply both sides of the equation by x
100=6.8608781208756*x       - we divide both sides of the equation by (6.8608781208756) to get x
100/6.8608781208756=x
14.575393737972=x
x=14.575393737972

now we have:
7145.03 is 14.575393737972% of 49021.18