1023.7 is what percent of 1372.4 - 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 1372.4 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 1372.4, so we can write it down as 100%=1372.4.
4. We know, that x% equals 1023.7 of the output value, so we can write it down as x%=1023.7.
5. Now we have two simple equations:
1) 100%=1372.4
2) x%=1023.7
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%=1372.4/1023.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1023.7 is what percent of 1372.4

100%/x%=1372.4/1023.7
(100/x)*x=(1372.4/1023.7)*x       - we multiply both sides of the equation by x
100=1.3406271368565*x       - we divide both sides of the equation by (1.3406271368565) to get x
100/1.3406271368565=x
74.591955698047=x
x=74.591955698047

now we have:
1023.7 is 74.591955698047% of 1372.4