84.55 is what percent of 45.375 - 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 45.375 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 45.375, so we can write it down as 100%=45.375.
4. We know, that x% equals 84.55 of the output value, so we can write it down as x%=84.55.
5. Now we have two simple equations:
1) 100%=45.375
2) x%=84.55
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%=45.375/84.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.55 is what percent of 45.375

100%/x%=45.375/84.55
(100/x)*x=(45.375/84.55)*x       - we multiply both sides of the equation by x
100=0.53666469544648*x       - we divide both sides of the equation by (0.53666469544648) to get x
100/0.53666469544648=x
186.33608815427=x
x=186.33608815427

now we have:
84.55 is 186.33608815427% of 45.375