90.55 is what percent of 930 - 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 930 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 930, so we can write it down as 100%=930.
4. We know, that x% equals 90.55 of the output value, so we can write it down as x%=90.55.
5. Now we have two simple equations:
1) 100%=930
2) x%=90.55
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%=930/90.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.55 is what percent of 930

100%/x%=930/90.55
(100/x)*x=(930/90.55)*x       - we multiply both sides of the equation by x
100=10.270568746549*x       - we divide both sides of the equation by (10.270568746549) to get x
100/10.270568746549=x
9.7365591397849=x
x=9.7365591397849

now we have:
90.55 is 9.7365591397849% of 930