78.62 is what percent of 120.37 - 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 120.37 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 120.37, so we can write it down as 100%=120.37.
4. We know, that x% equals 78.62 of the output value, so we can write it down as x%=78.62.
5. Now we have two simple equations:
1) 100%=120.37
2) x%=78.62
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%=120.37/78.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.62 is what percent of 120.37

100%/x%=120.37/78.62
(100/x)*x=(120.37/78.62)*x       - we multiply both sides of the equation by x
100=1.5310353599593*x       - we divide both sides of the equation by (1.5310353599593) to get x
100/1.5310353599593=x
65.315277893163=x
x=65.315277893163

now we have:
78.62 is 65.315277893163% of 120.37