996.7 is what percent of 25.034 - 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 25.034 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 25.034, so we can write it down as 100%=25.034.
4. We know, that x% equals 996.7 of the output value, so we can write it down as x%=996.7.
5. Now we have two simple equations:
1) 100%=25.034
2) x%=996.7
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%=25.034/996.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 996.7 is what percent of 25.034

100%/x%=25.034/996.7
(100/x)*x=(25.034/996.7)*x       - we multiply both sides of the equation by x
100=0.025116885722886*x       - we divide both sides of the equation by (0.025116885722886) to get x
100/0.025116885722886=x
3981.3853159703=x
x=3981.3853159703

now we have:
996.7 is 3981.3853159703% of 25.034