25.4 is what percent of 966.06 - 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 966.06 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 966.06, so we can write it down as 100%=966.06.
4. We know, that x% equals 25.4 of the output value, so we can write it down as x%=25.4.
5. Now we have two simple equations:
1) 100%=966.06
2) x%=25.4
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%=966.06/25.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.4 is what percent of 966.06

100%/x%=966.06/25.4
(100/x)*x=(966.06/25.4)*x       - we multiply both sides of the equation by x
100=38.033858267717*x       - we divide both sides of the equation by (38.033858267717) to get x
100/38.033858267717=x
2.6292362793201=x
x=2.6292362793201

now we have:
25.4 is 2.6292362793201% of 966.06