992.5 is what percent of 1017 - 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 1017 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 1017, so we can write it down as 100%=1017.
4. We know, that x% equals 992.5 of the output value, so we can write it down as x%=992.5.
5. Now we have two simple equations:
1) 100%=1017
2) x%=992.5
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%=1017/992.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 992.5 is what percent of 1017

100%/x%=1017/992.5
(100/x)*x=(1017/992.5)*x       - we multiply both sides of the equation by x
100=1.024685138539*x       - we divide both sides of the equation by (1.024685138539) to get x
100/1.024685138539=x
97.590953785644=x
x=97.590953785644

now we have:
992.5 is 97.590953785644% of 1017