602.83 is what percent of 1507.07 - 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 1507.07 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 1507.07, so we can write it down as 100%=1507.07.
4. We know, that x% equals 602.83 of the output value, so we can write it down as x%=602.83.
5. Now we have two simple equations:
1) 100%=1507.07
2) x%=602.83
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%=1507.07/602.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 602.83 is what percent of 1507.07

100%/x%=1507.07/602.83
(100/x)*x=(1507.07/602.83)*x       - we multiply both sides of the equation by x
100=2.4999917057877*x       - we divide both sides of the equation by (2.4999917057877) to get x
100/2.4999917057877=x
40.000132707837=x
x=40.000132707837

now we have:
602.83 is 40.000132707837% of 1507.07