906.24 is what percent of 1197.59 - 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 1197.59 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 1197.59, so we can write it down as 100%=1197.59.
4. We know, that x% equals 906.24 of the output value, so we can write it down as x%=906.24.
5. Now we have two simple equations:
1) 100%=1197.59
2) x%=906.24
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%=1197.59/906.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 906.24 is what percent of 1197.59

100%/x%=1197.59/906.24
(100/x)*x=(1197.59/906.24)*x       - we multiply both sides of the equation by x
100=1.3214932026836*x       - we divide both sides of the equation by (1.3214932026836) to get x
100/1.3214932026836=x
75.671974548886=x
x=75.671974548886

now we have:
906.24 is 75.671974548886% of 1197.59