83.46 is what percent of 1312.58 - 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 1312.58 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 1312.58, so we can write it down as 100%=1312.58.
4. We know, that x% equals 83.46 of the output value, so we can write it down as x%=83.46.
5. Now we have two simple equations:
1) 100%=1312.58
2) x%=83.46
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%=1312.58/83.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.46 is what percent of 1312.58

100%/x%=1312.58/83.46
(100/x)*x=(1312.58/83.46)*x       - we multiply both sides of the equation by x
100=15.727054876588*x       - we divide both sides of the equation by (15.727054876588) to get x
100/15.727054876588=x
6.3584695789971=x
x=6.3584695789971

now we have:
83.46 is 6.3584695789971% of 1312.58