873.9 is what percent of 1248.3 - 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 1248.3 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 1248.3, so we can write it down as 100%=1248.3.
4. We know, that x% equals 873.9 of the output value, so we can write it down as x%=873.9.
5. Now we have two simple equations:
1) 100%=1248.3
2) x%=873.9
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%=1248.3/873.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 873.9 is what percent of 1248.3

100%/x%=1248.3/873.9
(100/x)*x=(1248.3/873.9)*x       - we multiply both sides of the equation by x
100=1.4284243048404*x       - we divide both sides of the equation by (1.4284243048404) to get x
100/1.4284243048404=x
70.007209805335=x
x=70.007209805335

now we have:
873.9 is 70.007209805335% of 1248.3