969.03 is what percent of 1005 - 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 1005 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 1005, so we can write it down as 100%=1005.
4. We know, that x% equals 969.03 of the output value, so we can write it down as x%=969.03.
5. Now we have two simple equations:
1) 100%=1005
2) x%=969.03
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%=1005/969.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 969.03 is what percent of 1005

100%/x%=1005/969.03
(100/x)*x=(1005/969.03)*x       - we multiply both sides of the equation by x
100=1.0371195938206*x       - we divide both sides of the equation by (1.0371195938206) to get x
100/1.0371195938206=x
96.420895522388=x
x=96.420895522388

now we have:
969.03 is 96.420895522388% of 1005