602.07 is what percent of 1027.07 - 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 1027.07 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 1027.07, so we can write it down as 100%=1027.07.
4. We know, that x% equals 602.07 of the output value, so we can write it down as x%=602.07.
5. Now we have two simple equations:
1) 100%=1027.07
2) x%=602.07
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%=1027.07/602.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 602.07 is what percent of 1027.07

100%/x%=1027.07/602.07
(100/x)*x=(1027.07/602.07)*x       - we multiply both sides of the equation by x
100=1.7058979852841*x       - we divide both sides of the equation by (1.7058979852841) to get x
100/1.7058979852841=x
58.620152472568=x
x=58.620152472568

now we have:
602.07 is 58.620152472568% of 1027.07