0.83 is what percent of 42.18 - 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 42.18 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 42.18, so we can write it down as 100%=42.18.
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%=42.18
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%=42.18/0.83
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 42.18

100%/x%=42.18/0.83
(100/x)*x=(42.18/0.83)*x       - we multiply both sides of the equation by x
100=50.819277108434*x       - we divide both sides of the equation by (50.819277108434) to get x
100/50.819277108434=x
1.9677572309151=x
x=1.9677572309151

now we have:
0.83 is 1.9677572309151% of 42.18