77.4 is what percent of 96.7 - 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 96.7 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 96.7, so we can write it down as 100%=96.7.
4. We know, that x% equals 77.4 of the output value, so we can write it down as x%=77.4.
5. Now we have two simple equations:
1) 100%=96.7
2) x%=77.4
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%=96.7/77.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.4 is what percent of 96.7

100%/x%=96.7/77.4
(100/x)*x=(96.7/77.4)*x       - we multiply both sides of the equation by x
100=1.249354005168*x       - we divide both sides of the equation by (1.249354005168) to get x
100/1.249354005168=x
80.041365046536=x
x=80.041365046536

now we have:
77.4 is 80.041365046536% of 96.7