1022.3 is what percent of 61.35 - 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 61.35 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 61.35, so we can write it down as 100%=61.35.
4. We know, that x% equals 1022.3 of the output value, so we can write it down as x%=1022.3.
5. Now we have two simple equations:
1) 100%=61.35
2) x%=1022.3
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%=61.35/1022.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1022.3 is what percent of 61.35

100%/x%=61.35/1022.3
(100/x)*x=(61.35/1022.3)*x       - we multiply both sides of the equation by x
100=0.060011738237308*x       - we divide both sides of the equation by (0.060011738237308) to get x
100/0.060011738237308=x
1666.3406682967=x
x=1666.3406682967

now we have:
1022.3 is 1666.3406682967% of 61.35