143.7 is what percent of 1387.06 - 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 1387.06 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 1387.06, so we can write it down as 100%=1387.06.
4. We know, that x% equals 143.7 of the output value, so we can write it down as x%=143.7.
5. Now we have two simple equations:
1) 100%=1387.06
2) x%=143.7
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%=1387.06/143.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 143.7 is what percent of 1387.06

100%/x%=1387.06/143.7
(100/x)*x=(1387.06/143.7)*x       - we multiply both sides of the equation by x
100=9.6524704244955*x       - we divide both sides of the equation by (9.6524704244955) to get x
100/9.6524704244955=x
10.360042103442=x
x=10.360042103442

now we have:
143.7 is 10.360042103442% of 1387.06