67.43 is what percent of 1348.57 - 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 1348.57 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 1348.57, so we can write it down as 100%=1348.57.
4. We know, that x% equals 67.43 of the output value, so we can write it down as x%=67.43.
5. Now we have two simple equations:
1) 100%=1348.57
2) x%=67.43
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%=1348.57/67.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.43 is what percent of 1348.57

100%/x%=1348.57/67.43
(100/x)*x=(1348.57/67.43)*x       - we multiply both sides of the equation by x
100=19.999555094172*x       - we divide both sides of the equation by (19.999555094172) to get x
100/19.999555094172=x
5.0001112289314=x
x=5.0001112289314

now we have:
67.43 is 5.0001112289314% of 1348.57