78.4 is what percent of 141 - 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 141 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 141, so we can write it down as 100%=141.
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%=141
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%=141/78.4
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 141

100%/x%=141/78.4
(100/x)*x=(141/78.4)*x       - we multiply both sides of the equation by x
100=1.7984693877551*x       - we divide both sides of the equation by (1.7984693877551) to get x
100/1.7984693877551=x
55.602836879433=x
x=55.602836879433

now we have:
78.4 is 55.602836879433% of 141