534.2 is what percent of 553.5 - 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 553.5 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 553.5, so we can write it down as 100%=553.5.
4. We know, that x% equals 534.2 of the output value, so we can write it down as x%=534.2.
5. Now we have two simple equations:
1) 100%=553.5
2) x%=534.2
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%=553.5/534.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 534.2 is what percent of 553.5

100%/x%=553.5/534.2
(100/x)*x=(553.5/534.2)*x       - we multiply both sides of the equation by x
100=1.0361287907151*x       - we divide both sides of the equation by (1.0361287907151) to get x
100/1.0361287907151=x
96.513098464318=x
x=96.513098464318

now we have:
534.2 is 96.513098464318% of 553.5