753.02 is what percent of 1006.5 - 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 1006.5 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 1006.5, so we can write it down as 100%=1006.5.
4. We know, that x% equals 753.02 of the output value, so we can write it down as x%=753.02.
5. Now we have two simple equations:
1) 100%=1006.5
2) x%=753.02
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%=1006.5/753.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 753.02 is what percent of 1006.5

100%/x%=1006.5/753.02
(100/x)*x=(1006.5/753.02)*x       - we multiply both sides of the equation by x
100=1.3366178853151*x       - we divide both sides of the equation by (1.3366178853151) to get x
100/1.3366178853151=x
74.815697963239=x
x=74.815697963239

now we have:
753.02 is 74.815697963239% of 1006.5