1562.9 is what percent of 1259.3 - 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 1259.3 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 1259.3, so we can write it down as 100%=1259.3.
4. We know, that x% equals 1562.9 of the output value, so we can write it down as x%=1562.9.
5. Now we have two simple equations:
1) 100%=1259.3
2) x%=1562.9
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%=1259.3/1562.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1562.9 is what percent of 1259.3

100%/x%=1259.3/1562.9
(100/x)*x=(1259.3/1562.9)*x       - we multiply both sides of the equation by x
100=0.80574572909335*x       - we divide both sides of the equation by (0.80574572909335) to get x
100/0.80574572909335=x
124.10863177956=x
x=124.10863177956

now we have:
1562.9 is 124.10863177956% of 1259.3