631.4 is what percent of 741.4 - 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 741.4 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 741.4, so we can write it down as 100%=741.4.
4. We know, that x% equals 631.4 of the output value, so we can write it down as x%=631.4.
5. Now we have two simple equations:
1) 100%=741.4
2) x%=631.4
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%=741.4/631.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 631.4 is what percent of 741.4

100%/x%=741.4/631.4
(100/x)*x=(741.4/631.4)*x       - we multiply both sides of the equation by x
100=1.1742160278746*x       - we divide both sides of the equation by (1.1742160278746) to get x
100/1.1742160278746=x
85.163204747774=x
x=85.163204747774

now we have:
631.4 is 85.163204747774% of 741.4