77.84 is what percent of 4337.7 - 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 4337.7 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 4337.7, so we can write it down as 100%=4337.7.
4. We know, that x% equals 77.84 of the output value, so we can write it down as x%=77.84.
5. Now we have two simple equations:
1) 100%=4337.7
2) x%=77.84
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%=4337.7/77.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.84 is what percent of 4337.7

100%/x%=4337.7/77.84
(100/x)*x=(4337.7/77.84)*x       - we multiply both sides of the equation by x
100=55.725847893114*x       - we divide both sides of the equation by (55.725847893114) to get x
100/55.725847893114=x
1.7944993890772=x
x=1.7944993890772

now we have:
77.84 is 1.7944993890772% of 4337.7