94.06 is what percent of 1685.52 - 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 1685.52 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 1685.52, so we can write it down as 100%=1685.52.
4. We know, that x% equals 94.06 of the output value, so we can write it down as x%=94.06.
5. Now we have two simple equations:
1) 100%=1685.52
2) x%=94.06
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%=1685.52/94.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.06 is what percent of 1685.52

100%/x%=1685.52/94.06
(100/x)*x=(1685.52/94.06)*x       - we multiply both sides of the equation by x
100=17.919625770785*x       - we divide both sides of the equation by (17.919625770785) to get x
100/17.919625770785=x
5.5804736817125=x
x=5.5804736817125

now we have:
94.06 is 5.5804736817125% of 1685.52