41.98 is what percent of 1360 - 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 1360 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 1360, so we can write it down as 100%=1360.
4. We know, that x% equals 41.98 of the output value, so we can write it down as x%=41.98.
5. Now we have two simple equations:
1) 100%=1360
2) x%=41.98
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%=1360/41.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.98 is what percent of 1360

100%/x%=1360/41.98
(100/x)*x=(1360/41.98)*x       - we multiply both sides of the equation by x
100=32.396379228204*x       - we divide both sides of the equation by (32.396379228204) to get x
100/32.396379228204=x
3.0867647058824=x
x=3.0867647058824

now we have:
41.98 is 3.0867647058824% of 1360