872.4 is what percent of 1223 - 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 1223 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 1223, so we can write it down as 100%=1223.
4. We know, that x% equals 872.4 of the output value, so we can write it down as x%=872.4.
5. Now we have two simple equations:
1) 100%=1223
2) x%=872.4
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%=1223/872.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 872.4 is what percent of 1223

100%/x%=1223/872.4
(100/x)*x=(1223/872.4)*x       - we multiply both sides of the equation by x
100=1.4018798716185*x       - we divide both sides of the equation by (1.4018798716185) to get x
100/1.4018798716185=x
71.332788225675=x
x=71.332788225675

now we have:
872.4 is 71.332788225675% of 1223