1002.53 is what percent of 1402.53 - 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 1402.53 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 1402.53, so we can write it down as 100%=1402.53.
4. We know, that x% equals 1002.53 of the output value, so we can write it down as x%=1002.53.
5. Now we have two simple equations:
1) 100%=1402.53
2) x%=1002.53
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%=1402.53/1002.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1002.53 is what percent of 1402.53

100%/x%=1402.53/1002.53
(100/x)*x=(1402.53/1002.53)*x       - we multiply both sides of the equation by x
100=1.3989905538986*x       - we divide both sides of the equation by (1.3989905538986) to get x
100/1.3989905538986=x
71.480110942368=x
x=71.480110942368

now we have:
1002.53 is 71.480110942368% of 1402.53