824.3 is what percent of 1.198 - 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 1.198 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 1.198, so we can write it down as 100%=1.198.
4. We know, that x% equals 824.3 of the output value, so we can write it down as x%=824.3.
5. Now we have two simple equations:
1) 100%=1.198
2) x%=824.3
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%=1.198/824.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 824.3 is what percent of 1.198

100%/x%=1.198/824.3
(100/x)*x=(1.198/824.3)*x       - we multiply both sides of the equation by x
100=0.0014533543612762*x       - we divide both sides of the equation by (0.0014533543612762) to get x
100/0.0014533543612762=x
68806.343906511=x
x=68806.343906511

now we have:
824.3 is 68806.343906511% of 1.198