434.57 is what percent of 507.56 - 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 507.56 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 507.56, so we can write it down as 100%=507.56.
4. We know, that x% equals 434.57 of the output value, so we can write it down as x%=434.57.
5. Now we have two simple equations:
1) 100%=507.56
2) x%=434.57
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%=507.56/434.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 434.57 is what percent of 507.56

100%/x%=507.56/434.57
(100/x)*x=(507.56/434.57)*x       - we multiply both sides of the equation by x
100=1.1679591320156*x       - we divide both sides of the equation by (1.1679591320156) to get x
100/1.1679591320156=x
85.619434155568=x
x=85.619434155568

now we have:
434.57 is 85.619434155568% of 507.56