94.12 is what percent of 1425.23 - 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 1425.23 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 1425.23, so we can write it down as 100%=1425.23.
4. We know, that x% equals 94.12 of the output value, so we can write it down as x%=94.12.
5. Now we have two simple equations:
1) 100%=1425.23
2) x%=94.12
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%=1425.23/94.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.12 is what percent of 1425.23

100%/x%=1425.23/94.12
(100/x)*x=(1425.23/94.12)*x       - we multiply both sides of the equation by x
100=15.142690182745*x       - we divide both sides of the equation by (15.142690182745) to get x
100/15.142690182745=x
6.6038463967219=x
x=6.6038463967219

now we have:
94.12 is 6.6038463967219% of 1425.23