172.9 is what percent of 5740.8 - 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 5740.8 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 5740.8, so we can write it down as 100%=5740.8.
4. We know, that x% equals 172.9 of the output value, so we can write it down as x%=172.9.
5. Now we have two simple equations:
1) 100%=5740.8
2) x%=172.9
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%=5740.8/172.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 172.9 is what percent of 5740.8

100%/x%=5740.8/172.9
(100/x)*x=(5740.8/172.9)*x       - we multiply both sides of the equation by x
100=33.203007518797*x       - we divide both sides of the equation by (33.203007518797) to get x
100/33.203007518797=x
3.0117753623188=x
x=3.0117753623188

now we have:
172.9 is 3.0117753623188% of 5740.8