78.4 is what percent of 127 - 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 127 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 127, so we can write it down as 100%=127.
4. We know, that x% equals 78.4 of the output value, so we can write it down as x%=78.4.
5. Now we have two simple equations:
1) 100%=127
2) x%=78.4
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%=127/78.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.4 is what percent of 127

100%/x%=127/78.4
(100/x)*x=(127/78.4)*x       - we multiply both sides of the equation by x
100=1.6198979591837*x       - we divide both sides of the equation by (1.6198979591837) to get x
100/1.6198979591837=x
61.732283464567=x
x=61.732283464567

now we have:
78.4 is 61.732283464567% of 127