6972.29 is what percent of 145541.03 - 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 145541.03 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 145541.03, so we can write it down as 100%=145541.03.
4. We know, that x% equals 6972.29 of the output value, so we can write it down as x%=6972.29.
5. Now we have two simple equations:
1) 100%=145541.03
2) x%=6972.29
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%=145541.03/6972.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6972.29 is what percent of 145541.03

100%/x%=145541.03/6972.29
(100/x)*x=(145541.03/6972.29)*x       - we multiply both sides of the equation by x
100=20.874207756705*x       - we divide both sides of the equation by (20.874207756705) to get x
100/20.874207756705=x
4.7906009734849=x
x=4.7906009734849

now we have:
6972.29 is 4.7906009734849% of 145541.03