0.83 is what percent of 313.77 - 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 313.77 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 313.77, so we can write it down as 100%=313.77.
4. We know, that x% equals 0.83 of the output value, so we can write it down as x%=0.83.
5. Now we have two simple equations:
1) 100%=313.77
2) x%=0.83
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%=313.77/0.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.83 is what percent of 313.77

100%/x%=313.77/0.83
(100/x)*x=(313.77/0.83)*x       - we multiply both sides of the equation by x
100=378.03614457831*x       - we divide both sides of the equation by (378.03614457831) to get x
100/378.03614457831=x
0.26452497051981=x
x=0.26452497051981

now we have:
0.83 is 0.26452497051981% of 313.77