1. A method for modeling Integrated Technology (IT) modeling for an engagement, comprising: identifying, by at least one computing device, a set of services that are required to realize an overall solution; categorizing, by the at least one computing device, each service of the set of services based on a complexity of said each service by estimating, by the at least one computing device, an estimated effort required to realize each said service within an IT infrastructure; computing, by the at least one computing device, a total effort required to realize said each service by multiplying a service complexity factor by said each effort estimated, wherein the service complexity factor represents a multiple of the complexity of a predetermined base category; identifying and estimating, by the at least one computing device, a set of business service factors for the each service; estimating, by the at least one computing device, a baseline count by summing the total effort required for the services; identifying, by the at least one computing device, a set of service contingency factors for each of the set of business service factors that applies to each of the set of services; assigning, by the at least one computing device, a moderation allocation for each of the set of business service factors, the moderation allocation including a weight that indicates a degree of relevance of each of the business service factors; evaluating, by the at least one computing device, a maturity of each of the set of service contingency factors; outputting, by the at least one computing device, a set of impact scores based on the evaluating, the set of impact scores including a percentage score indicating the impact of maturity on each of the set of service contingency factors; computing, by the at least one computing device, a set of contingency scores by multiplying each of the set of impact scores with the assigned moderation allocation; aggregating, by the at least one computing device, the set of contingency scores of each of the set of business service factors within each of the set of services; outputting, by the at least one computing device, a set of gross contingency scores based on the aggregation, each of the set of gross contingency scores corresponding to one service of the set of services; calculating, by the at least one computing device, a total effort estimate by summing the baseline count with a product of the baseline count and a gross contingency score, from the set of gross contingency scores, associated with the set of services; and allocating, by the at least one computing device, resources for phases of the engagement based on the total effort estimates and resource allocation estimates for each of the phases in accordance with predetermined percentages for each of the phases, wherein the phases comprise at least one of planning, requirements definition, design, build, testing, and deployment; wherein the set of business service factors comprise at least a number of business goals, a number of business processes identified for business transformation, and a number of business activities associated with the business processes.