825.03 is what percent of 1200 - 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 1200 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 1200, so we can write it down as 100%=1200.
4. We know, that x% equals 825.03 of the output value, so we can write it down as x%=825.03.
5. Now we have two simple equations:
1) 100%=1200
2) x%=825.03
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%=1200/825.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 825.03 is what percent of 1200

100%/x%=1200/825.03
(100/x)*x=(1200/825.03)*x       - we multiply both sides of the equation by x
100=1.4544925639068*x       - we divide both sides of the equation by (1.4544925639068) to get x
100/1.4544925639068=x
68.7525=x
x=68.7525

now we have:
825.03 is 68.7525% of 1200