60.4 is what percent of 71.4 - 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 71.4 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 71.4, so we can write it down as 100%=71.4.
4. We know, that x% equals 60.4 of the output value, so we can write it down as x%=60.4.
5. Now we have two simple equations:
1) 100%=71.4
2) x%=60.4
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%=71.4/60.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.4 is what percent of 71.4

100%/x%=71.4/60.4
(100/x)*x=(71.4/60.4)*x       - we multiply both sides of the equation by x
100=1.182119205298*x       - we divide both sides of the equation by (1.182119205298) to get x
100/1.182119205298=x
84.593837535014=x
x=84.593837535014

now we have:
60.4 is 84.593837535014% of 71.4